Question

Sendo a equação biquadrada 5+x^4-6x^2=0

Answer 1

5 + x⁴ - 6x² = 0

(x²)² - 6x² + 5 = 0

Let x² = y:

y² - 6y + 5 = 0

y² - y - 5y + 5 = 0

y( y - 1 ) - 5( y - 1 ) = 0

( y - 1 )( y - 5 ) = 0

y' = 1

y" = 5

_________

y = x²

• x² = 1 → x' = ± 1

• x² = 5 → x" = ±√5

_________

S = { -√5, -1, 1, √5 }