Question

como resolver essa equacao (x-2)²=4-9x

Answer 1

(x - 2)² = 4 - 9x
(x - 2) (x - 2) = 4 - 9x
x² - 2x - 2x + 4 - 4 + 9x = 0
x² - 4x + 9x = 0
x² + 5x = 0
x (x + 5) = 0
x = 0 ⇒ x' = 0
x + 5 = 0 ⇒ x = - 5 ⇒ x" =  -5

S = { 0 e - 5 }

Answer 2

(x-2)²=4-9x

x²-4x+4=4-9x

x²-4x+4-4+9x=0

x²+5x=0

x(x+5)=0

x+5=0
x=-5            e        x=0

S={-5,0}