Question

Quais as raízes de x⁴-8x³-25x²+44x+60=0

Answer 1

Resposta: Olá, Tudo Bem?

Cálculo:

x⁴ + x³ - 9x³ - 25x² + 44x + 60 = 0

x⁴ + x³ - 9x³ - 9x² - 16x² + 44x + 60 = 0

x⁴ + x³ - 9x³ - 9x² - 16x² - 16x + 60x + 60 = 0

x3 x (x + 1) - 9x³ - 9x² - 16x² - 16x + 60x + 60 = 0

x³ x(x + 1) - 9x² x (x + 1) - 16x² - 16x + 60x + 60 = 0

x³ x(x + 1) - 9x² x (x + 1) - 16x x (x + 1) + 60x + 60 = 0

x³ x (x + 1) - 9x² x (x + 1) - 16x x (x + 1) + 60 (x + 1) = 0

(x + 1) x (x³ - 9x² - 16x + 60) = 0

(x + 1) x (x³ - 2x² - 7x² - 16x + 60 = 0

(x + 1) x (x³ - 2x² - 7x² + 14x - 30x + 60 = 0

(x + 1) x (x² x (x - 2) - 7x² + 14x - 30x + 60) = 0

(x + 1) x (x² x (x - 2) - 7x x (x - 2) - 30x + 60) = 0

(x + 1) x (x² x (x - 2) - 7x x (x - 2) - 30 (x - 2) ) = 0

(x + 1) x (x - 2) x (x² - 7x - 30) = 0

(x + 1) x (x - 2) x (x² + 3x - 10x - 30) = 0

(x + 1) x (x - 2) x (x x (x + 3) - 10x - 30) = 0

(x + 1) x (x - 2) x (x x (x + 3) - 10 (x + 3) ) = 0

(x + 1) x (x - 2) x (x + 3) x (x - 10) = 0

x + 1 = 0

x - 2 = 0

x + 3 = 0

x - 10 = 0

x = - 1

x - 2 = 0

x + 3 = 0

x - 10 = 0

x = - 1

x = 2

x + 3 = 0

x - 10 = 0

x = - 1

x = 2

x = - 3

x - 10 = 0

x = - 1

x = 2

x = - 3

x = 10

x¹ = - 3 ,x² = - 1 ,x³ = 2 ,x⁴ = 10

x¹ = - 3 ,x² = - 1 ,x³ = 2 ,x⁴ = 10

Explicação passo-a-passo:

Espero ter ajudado :)