Question

(x+2)²+x=0? alguém me ajuda pfvr

Answer 1

(x + 2)² + x = 0
(x + 2) • (x + 2) + x = 0
x² + 2x + 2x + 4 + x = 0
x² + 5x + 4 = 0

∆= 5² - 4 • 1 • 4
∆= 25 - 16
∆= 9

x= - 5 ± √9/2 • 1
x= - 5 ± 3/2

x'= - 5 + 3/2 = - 2/2 = - 1
x''= - 5 - 3/2 = - 8/2 = - 4

S={(- 1 , - 4)}