Question

$\sqrt{9x + } 22 - 4 = x$

Answer 1

Vamos lá

√ 9X + 22 - 4 = X

3 √ X + 22 - 4 = X

3 √ X + 18 = X

3 √ X = X - 18

9X = X² - 36X + 324

9X - X² + 36X - 324 = 0

- X ( X - 9 ) + 36 ( X - 9 ) = 0

- X ( X - 9 ) • ( X - 36 ) = 0

- X ( X - 9 ) = 0
X - 36 = 0

X - 9 = 0

X = 9

X = 36

Verificação:

√ 9 • 9 + 22 - 4 = 9
√ 9 • 36 + 22 - 4 = 36

27 = 9
36 = 36

X ≠ 9 ( F )
X = 36 ( V )

S ( 36 )