Question

уравнения
1. (x^2+4)^2-7(x^2+4)+10=0
2. 2x^3-x^2+2x-1=0

Answer 1

$1); ; (x^2+4)^2-7(x^2+4)+10=0\\t=x^2+4; ;; ; t^2-7t+10=0\\t_1=2; ;; t_2=5\\x^2+4=2; ; to ; ; x^2=-2 textless 0; ; net; reshenij,; t.k.; x^2 geq 0\\x^2+4=5; ; to ; ; x^2=1; ,; x=pm 1\\Otvet:x=-1; ;; x=1.\\2); ; 2x^3-x^2+2x-1=0\\x^2(2x-1)+(2x-1)=0\\(2x-1)(x^2+1)=0\\x^2+1=0; net; reshenij,; t.k.; x^2+1 textgreater 0\\2x-1=0; ;; x=frac{1}{2}\\Otvet:; x=frac{1}{2}$