График функции пересекает ось X при f = 0
значит надо решить уравнение:
$$10 e^{- \left|{x}\right|} \sqrt{\left|{x}\right|} = 0$$
Решаем это уравнениеТочки пересечения с осью X:
Аналитическое решение$$x_{1} = 0$$
Численное решение$$x_{1} = 47.4840595602256$$
$$x_{2} = -118.970152765141$$
$$x_{3} = -33.4042694137578$$
$$x_{4} = -67.0638346231616$$
$$x_{5} = 69.3656580707601$$
$$x_{6} = -102.987464315167$$
$$x_{7} = -71.0506578790373$$
$$x_{8} = 43.5247833975919$$
$$x_{9} = -94.9986434020122$$
$$x_{10} = 75.348023966467$$
$$x_{11} = -65.0711886544365$$
$$x_{12} = -55.1186108210408$$
$$x_{13} = 33.7050192913026$$
$$x_{14} = -51.1447223743512$$
$$x_{15} = 101.299318687875$$
$$x_{16} = -110.978104750617$$
$$x_{17} = -37.3093090541517$$
$$x_{18} = 53.4386598724052$$
$$x_{19} = -120.968348080616$$
$$x_{20} = 103.296731827686$$
$$x_{21} = -49.1600217512013$$
$$x_{22} = 73.353510671353$$
$$x_{23} = -77.0339935679106$$
$$x_{24} = 37.6130958486423$$
$$x_{25} = 35.6543347968206$$
$$x_{26} = -93.0017865135215$$
$$x_{27} = -96.9956495959489$$
$$x_{28} = 61.3960345689498$$
$$x_{29} = 87.3213136336434$$
$$x_{30} = 113.285339633308$$
$$x_{31} = 109.289613705642$$
$$x_{32} = 81.3334952099$$
$$x_{33} = -108.980298944191$$
$$x_{34} = -35.3518165130442$$
$$x_{35} = 65.379674785386$$
$$x_{36} = -57.1073737496955$$
$$x_{37} = -81.0245211192852$$
$$x_{38} = -53.1309970905921$$
$$x_{39} = 71.3593751069398$$
$$x_{40} = 59.4052875189582$$
$$x_{41} = 45.5030973088585$$
$$x_{42} = 105.294256684545$$
$$x_{43} = -61.0877539258535$$
$$x_{44} = -43.2187501477016$$
$$x_{45} = 0$$
$$x_{46} = 95.3078310768383$$
$$x_{47} = 63.3875261113478$$
$$x_{48} = 91.3142286748655$$
$$x_{49} = 117.28139205792$$
$$x_{50} = 119.279529202497$$
$$x_{51} = -41.2442746296924$$
$$x_{52} = 51.4521640007527$$
$$x_{53} = 115.283327424433$$
$$x_{54} = -31.4710200385529$$
$$x_{55} = -89.0085679306054$$
$$x_{56} = 67.3724065186333$$
$$x_{57} = 89.3176784553686$$
$$x_{58} = -106.982586137274$$
$$x_{59} = 57.4153887767538$$
$$x_{60} = -79.0291136628044$$
$$x_{61} = -47.1771902579016$$
$$x_{62} = -104.984972392956$$
$$x_{63} = -73.0447315518853$$
$$x_{64} = -87.01223309669$$
$$x_{65} = -116.972026550028$$
$$x_{66} = -98.9927946593729$$
$$x_{67} = -59.0971307960406$$
$$x_{68} = -100.990069110598$$
$$x_{69} = -85.0161016524756$$
$$x_{70} = -91.0050904444827$$
$$x_{71} = 121.277734847256$$
$$x_{72} = -69.0570095659301$$
$$x_{73} = -75.0391889040362$$
$$x_{74} = -112.975997979872$$
$$x_{75} = 79.3380456270647$$
$$x_{76} = 55.4264627439008$$
$$x_{77} = 97.3048593843912$$
$$x_{78} = 111.287433368929$$
$$x_{79} = -39.2740530264455$$
$$x_{80} = 41.5497350015293$$
$$x_{81} = -45.1966038596489$$
$$x_{82} = -114.973973493728$$
$$x_{83} = -83.0201911227922$$
$$x_{84} = 107.291886149348$$
$$x_{85} = 49.4672023698822$$
$$x_{86} = 85.3251496602071$$
$$x_{87} = 99.3020250360894$$
$$x_{88} = 93.3109503941824$$
$$x_{89} = 83.3292037625527$$
$$x_{90} = -63.0791364380438$$
$$x_{91} = 31.7691710826687$$
$$x_{92} = 77.3428793684936$$
$$x_{93} = 39.578785997665$$