Question

Решение биквадратного уравнения 16x4+55x2-36=0

Answer 1

16x^4 + 55x^2 - 36 = 0
X^2 = a ; a > 0
16a^2 + 55a - 36 = 0
D = 3025 + 2304 = 5329 ; V5329 = 73
a1 = ( - 55 + 73 ) : 32 = 18/32 = 9/16
a2 = ( - 55 - 73 ) : 32 = - 128/32 ( < 0 )
X^2 = 9/16
X1 = 3/4
X2 = - 3/4
Ответ 3/4 ; - 3/4