Подстановка условия
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sqrt((a - 1*3)^2) + sqrt((a - 1*5)^2) при a = 1/4
__________ __________
/ 2 / 2
\/ (a - 3) + \/ (a - 5)
$$\sqrt{\left(a - 3\right)^{2}} + \sqrt{\left(a - 5\right)^{2}}$$
___________ ___________
/ 2 / 2
\/ (-5 + a) + \/ (-3 + a)
$$\sqrt{\left(a - 5\right)^{2}} + \sqrt{\left(a - 3\right)^{2}}$$
$$a = \frac{1}{4}$$
_______________ _______________
/ 2 / 2
\/ (-5 + (1/4)) + \/ (-3 + (1/4))
$$\sqrt{\left((1/4) - 5\right)^{2}} + \sqrt{\left((1/4) - 3\right)^{2}}$$
_____________ _____________
/ 2 / 2
\/ (-5 + 1/4) + \/ (-3 + 1/4)
$$\sqrt{\left(-3 + \frac{1}{4}\right)^{2}} + \sqrt{\left(-5 + \frac{1}{4}\right)^{2}}$$
$$\frac{15}{2}$$
Объединение рациональных выражений
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___________ ___________
/ 2 / 2
\/ (-5 + a) + \/ (-3 + a)
$$\sqrt{\left(a - 5\right)^{2}} + \sqrt{\left(a - 3\right)^{2}}$$
sqrt((-5 + a)^2) + sqrt((-3 + a)^2)