Question

Решите уравнение : x^8=(2x+3)^4

Answer 1

${x}^{8} = (2x + 3)^{4} \ x {}^{2} = |2x + 3| \ 1)2x + 3 geqslant 0 \ x geqslant - frac{3}{2} \ {x}^{2} - 2x + 3 = 0 \ x = 3 : and : : x = - 1 \ 2)2x + 3 < 0 \ x < - frac{ 3}{2} \ {x}^{2} + 2x + 3 = 0 \ d = 4 - 6 = - 2 \x notinmathbb R$
Ответ: х=3;-1