Question

Решите уравнение: $x^{8} - 17 x^{4} + 16 = 0$

Answer 1

Х^8 - 17х^4 + 16 = 0
Х^4 = а ( а > 0 )
а^2 - 17а + 16 = 0
D = 289 - 64 = 225 = 15^2
a1 = ( 17 + 15 ) : 2 = 16
a2 = ( 17 - 15 ) : 2 = 1
X^4 = 16
X1,2 = + ( - ) 2
X^4 = 1
X1,2 = + ( - ) 1
Ответ 1 ; 2 ; - 1 ; - 2

Answer 2

Спасиибо)