Господин Экзамен
Другие калькуляторы
-
Как пользоваться?
- Уравнение:
- Уравнение x+0,5x=3
- Уравнение x^2-8x-84=0
-
Уравнение 16^(sin(2*x))=4
-
Уравнение (x+1)*(x-1)*(x-2)-((x^2)+7*x)*(x-4)-2=2*x
- Выразите {x} через y в уравнении:
- -7*x-2*y=9
- 6*x+3*y=-15
- 2*x+8*y=15
- 2*x-20*y=-12
-
Идентичные выражения
- шестнадцать ^(sin(два *x))= четыре
- 16 в степени ( синус от (2 умножить на x)) равно 4
- шестнадцать в степени ( синус от (два умножить на x)) равно четыре
- 16(sin(2*x))=4
- 16sin2*x=4
- 16^(sin(2x))=4
- 16(sin(2x))=4
- 16sin2x=4
- 16^sin2x=4
16^(sin(2*x))=4 уравнение
С верным решением ты станешь самым любимым в группе❤️😊
Решение
Быстрый ответ
[src]
pi
x_1 = --
12
$$x_{1} = \frac{\pi}{12}$$
5*pi
x_2 = ----
12
$$x_{2} = \frac{5 \pi}{12}$$
/ /-pi*I + log(2)\\ / /-pi*I + log(2)\\
re|asin|--------------|| I*im|asin|--------------||
pi \ \ 2*log(2) // \ \ 2*log(2) //
x_3 = -- - ------------------------ - --------------------------
2 2 2
$$x_{3} = - \frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} - i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2} + \frac{\pi}{2} - \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} - i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2}$$
/ /pi*I + log(2)\\ / /pi*I + log(2)\\
re|asin|-------------|| I*im|asin|-------------||
pi \ \ 2*log(2) // \ \ 2*log(2) //
x_4 = -- - ----------------------- - -------------------------
2 2 2
$$x_{4} = - \frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2} + \frac{\pi}{2} - \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2}$$
/ /1 pi*I \\ / /1 pi*I \\
re|asin|- + ------|| I*im|asin|- + ------||
pi \ \2 log(2)// \ \2 log(2)//
x_5 = -- - -------------------- - ----------------------
2 2 2
$$x_{5} = - \frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{1}{2} + \frac{i \pi}{\log{\left(2 \right)}} \right)}\right)}}{2} + \frac{\pi}{2} - \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{1}{2} + \frac{i \pi}{\log{\left(2 \right)}} \right)}\right)}}{2}$$
/ /-pi*I + log(2)\\ / /-pi*I + log(2)\\
re|asin|--------------|| I*im|asin|--------------||
\ \ 2*log(2) // \ \ 2*log(2) //
x_6 = ------------------------ + --------------------------
2 2
$$x_{6} = \frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} - i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2} + \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} - i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2}$$
/ /pi*I + log(2)\\ / /pi*I + log(2)\\
re|asin|-------------|| I*im|asin|-------------||
\ \ 2*log(2) // \ \ 2*log(2) //
x_7 = ----------------------- + -------------------------
2 2
$$x_{7} = \frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2} + \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2}$$
/ /1 pi*I \\ / /1 pi*I \\
re|asin|- + ------|| I*im|asin|- + ------||
\ \2 log(2)// \ \2 log(2)//
x_8 = -------------------- + ----------------------
2 2
$$x_{8} = \frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{1}{2} + \frac{i \pi}{\log{\left(2 \right)}} \right)}\right)}}{2} + \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{1}{2} + \frac{i \pi}{\log{\left(2 \right)}} \right)}\right)}}{2}$$
Сумма и произведение корней
[src]
сумма
/ /-pi*I + log(2)\\ / /-pi*I + log(2)\\ / /pi*I + log(2)\\ / /pi*I + log(2)\\ / /1 pi*I \\ / /1 pi*I \\ / /-pi*I + log(2)\\ / /-pi*I + log(2)\\ / /pi*I + log(2)\\ / /pi*I + log(2)\\ / /1 pi*I \\ / /1 pi*I \\
re|asin|--------------|| I*im|asin|--------------|| re|asin|-------------|| I*im|asin|-------------|| re|asin|- + ------|| I*im|asin|- + ------|| re|asin|--------------|| I*im|asin|--------------|| re|asin|-------------|| I*im|asin|-------------|| re|asin|- + ------|| I*im|asin|- + ------||
pi 5*pi pi \ \ 2*log(2) // \ \ 2*log(2) // pi \ \ 2*log(2) // \ \ 2*log(2) // pi \ \2 log(2)// \ \2 log(2)// \ \ 2*log(2) // \ \ 2*log(2) // \ \ 2*log(2) // \ \ 2*log(2) // \ \2 log(2)// \ \2 log(2)//
-- + ---- + -- - ------------------------ - -------------------------- + -- - ----------------------- - ------------------------- + -- - -------------------- - ---------------------- + ------------------------ + -------------------------- + ----------------------- + ------------------------- + -------------------- + ----------------------
12 12 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
$$\left(\frac{\pi}{12}\right) + \left(\frac{5 \pi}{12}\right) + \left(- \frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} - i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2} + \frac{\pi}{2} - \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} - i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2}\right) + \left(- \frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2} + \frac{\pi}{2} - \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2}\right) + \left(- \frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{1}{2} + \frac{i \pi}{\log{\left(2 \right)}} \right)}\right)}}{2} + \frac{\pi}{2} - \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{1}{2} + \frac{i \pi}{\log{\left(2 \right)}} \right)}\right)}}{2}\right) + \left(\frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} - i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2} + \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} - i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2}\right) + \left(\frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2} + \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2}\right) + \left(\frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{1}{2} + \frac{i \pi}{\log{\left(2 \right)}} \right)}\right)}}{2} + \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{1}{2} + \frac{i \pi}{\log{\left(2 \right)}} \right)}\right)}}{2}\right)$$
=
2*pi
$$2 \pi$$
произведение
/ /-pi*I + log(2)\\ / /-pi*I + log(2)\\ / /pi*I + log(2)\\ / /pi*I + log(2)\\ / /1 pi*I \\ / /1 pi*I \\ / /-pi*I + log(2)\\ / /-pi*I + log(2)\\ / /pi*I + log(2)\\ / /pi*I + log(2)\\ / /1 pi*I \\ / /1 pi*I \\
re|asin|--------------|| I*im|asin|--------------|| re|asin|-------------|| I*im|asin|-------------|| re|asin|- + ------|| I*im|asin|- + ------|| re|asin|--------------|| I*im|asin|--------------|| re|asin|-------------|| I*im|asin|-------------|| re|asin|- + ------|| I*im|asin|- + ------||
pi 5*pi pi \ \ 2*log(2) // \ \ 2*log(2) // pi \ \ 2*log(2) // \ \ 2*log(2) // pi \ \2 log(2)// \ \2 log(2)// \ \ 2*log(2) // \ \ 2*log(2) // \ \ 2*log(2) // \ \ 2*log(2) // \ \2 log(2)// \ \2 log(2)//
-- * ---- * -- - ------------------------ - -------------------------- * -- - ----------------------- - ------------------------- * -- - -------------------- - ---------------------- * ------------------------ + -------------------------- * ----------------------- + ------------------------- * -------------------- + ----------------------
12 12 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
$$\left(\frac{\pi}{12}\right) * \left(\frac{5 \pi}{12}\right) * \left(- \frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} - i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2} + \frac{\pi}{2} - \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} - i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2}\right) * \left(- \frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2} + \frac{\pi}{2} - \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2}\right) * \left(- \frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{1}{2} + \frac{i \pi}{\log{\left(2 \right)}} \right)}\right)}}{2} + \frac{\pi}{2} - \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{1}{2} + \frac{i \pi}{\log{\left(2 \right)}} \right)}\right)}}{2}\right) * \left(\frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} - i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2} + \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} - i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2}\right) * \left(\frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2} + \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + i \pi}{2 \log{\left(2 \right)}} \right)}\right)}}{2}\right) * \left(\frac{\operatorname{re}{\left(\operatorname{asin}{\left(\frac{1}{2} + \frac{i \pi}{\log{\left(2 \right)}} \right)}\right)}}{2} + \frac{i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{1}{2} + \frac{i \pi}{\log{\left(2 \right)}} \right)}\right)}}{2}\right)$$
=
2 / / /pi*I + log(2)\\ / /pi*I + log(2)\\\ / / /-pi*I + log(2)\\ / /-pi*I + log(2)\\\ / / /2*pi*I + log(2)\\ / /2*pi*I + log(2)\\\ / / /pi*I + log(2)\\ / /pi*I + log(2)\\\ / / /-pi*I + log(2)\\ / /-pi*I + log(2)\\\ / / /2*pi*I + log(2)\\ / /2*pi*I + log(2)\\\
-5*pi *|I*im|asin|-------------|| + re|asin|-------------|||*|I*im|asin|--------------|| + re|asin|--------------|||*|I*im|asin|---------------|| + re|asin|---------------|||*|-pi + I*im|asin|-------------|| + re|asin|-------------|||*|-pi + I*im|asin|--------------|| + re|asin|--------------|||*|-pi + I*im|asin|---------------|| + re|asin|---------------|||
\ \ \ 2*log(2) // \ \ 2*log(2) /// \ \ \ 2*log(2) // \ \ 2*log(2) /// \ \ \ 2*log(2) // \ \ 2*log(2) /// \ \ \ 2*log(2) // \ \ 2*log(2) /// \ \ \ 2*log(2) // \ \ 2*log(2) /// \ \ \ 2*log(2) // \ \ 2*log(2) ///
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
9216
$$- \frac{5 \pi^{2} \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} - i \pi}{2 \log{\left(2 \right)}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} - i \pi}{2 \log{\left(2 \right)}} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + i \pi}{2 \log{\left(2 \right)}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + i \pi}{2 \log{\left(2 \right)}} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + 2 i \pi}{2 \log{\left(2 \right)}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + 2 i \pi}{2 \log{\left(2 \right)}} \right)}\right)}\right) \left(- \pi + \operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} - i \pi}{2 \log{\left(2 \right)}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} - i \pi}{2 \log{\left(2 \right)}} \right)}\right)}\right) \left(- \pi + \operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + i \pi}{2 \log{\left(2 \right)}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + i \pi}{2 \log{\left(2 \right)}} \right)}\right)}\right) \left(- \pi + \operatorname{re}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + 2 i \pi}{2 \log{\left(2 \right)}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\log{\left(2 \right)} + 2 i \pi}{2 \log{\left(2 \right)}} \right)}\right)}\right)}{9216}$$
Численный ответ
[src]
x1 = -30.1069295969022
x2 = -67.8060414399797
x3 = 44.2440965380563
x4 = -56.2868683768171
x5 = -45.8148928648512
x6 = 37.9609112308767
x7 = 48.4328867428426
x8 = 72.5184304203644
x9 = 4.45058959258554
x10 = 15.9697626557481
x11 = -50.0036830696375
x12 = 35.8665161284835
x13 = -8.11578102177363
x14 = -83.5140047079287
x15 = 92.4151838930998
x16 = 53.6688744988256
x17 = -329.605429239129
x18 = -71.9948316447661
x19 = -93.9859802198946
x20 = -28.012534494509
x21 = -12.30457122656
x22 = 22.2529479629277
x23 = 81.9432083811338
x24 = 31.6777259236971
x25 = 79.8488132787406
x26 = -14.3989663289532
x27 = -61.5228561328001
x28 = -65.7116463375865
x29 = 20.1585528605345
x30 = -23.8237442897226
x31 = -74.0892267471593
x32 = 88.2263936883134
x33 = 13.8753675533549
x34 = 26.4417381677141
x35 = 60.9992573572018
x36 = -78.2780169519457
x37 = 66.2352451131848
x38 = 51.5744793964324
x39 = 64.1408500107916
x40 = -43.720497762458
x41 = 29.5833308213039
x42 = -100.269165527074
x43 = -39.5317075576716
x44 = 59.9520598060052
x45 = -1.83259571459405
x46 = 42.1497014356631
x47 = -21.7293491873294
x48 = 57.857664703612
x49 = 130.114295736177
x50 = -52.0980781720307
x51 = -17.540558982543
x52 = 9.68657734856853
x53 = -96.0803753222878
x54 = 7.59218224617533
x55 = -87.7027949127151
x56 = 70.4240353179712
x57 = -42.6733002112614
x58 = -34.2957198016886
x59 = 94.5095789954929
x60 = -86.6555973615185
x61 = -6.02138591938044
x62 = -89.7971900151083
x63 = 86.1319985859202
x64 = 0.261799387799149
x64 = 0.261799387799149
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