Question

Me ajudem resolver essa conta, nas fórmulas de bhaskaras
(x+2)²+x=0

Answer 1

Resolução

(x + 2)² + x = 0
x*(x + 2) + 2*(x + 2) + x = 0
x² + 2x + 2x + 4 + x = 0
x² + 4x + x + 4 = 0
x² + 5x + 4 = 0
a=1 b=5 c=4

∆ = b² - 4*a*c
∆ = 5² - 4*1*4
∆ = 25 - 16
∆ = 9
√∆ = √9 = 3

x = - b ± √∆/2*a

x' = - 5 + 3/2 = - 2/2 = - 1

x" = - 5 - 3/2 = - 8/2 = - 4

S= { - 1 ; - 4 }