Question

x4-16x2+24x-9=0
уравнение высоких степеней

Answer 1

X4-16x2+24x-9=x^4-(16x^2-24x+9)=x^4-(4x-3)^2=(x^2-4x+3)(x^2+4x-3)

(x^2-4x+3)(x^2+4x-3)=0


(x^2-4x+3)=0
x =1 x=3

или (x^2+4x-3)=0
х=-2 - √7 х=-2 + √7