Question

Preciso q me respondam esse questão

Resolva as expressões biquadradas, dando as raízes:


x^2. (x^2-10)+9=(x+1). (x-1)

Answer 1

Ola Taynara

x^2*(x^2 - 10) + 9 = (x + 1)*(x - 1)

x^4 - 10x^2 + 9 = x^2 - 1

x^4 - 11x^2 + 10 = 0

y = x^2

y^2 - 11y + 10 = 0

d^2 = 121 - 40 = 81
d = 9

y1 = (11 + 9)/2 = 10
y2 = (11 - 9)/2 = 1¨¨

x1 = -√10
x2 = √10
x3 = -1
x4 = 1