Question

Equação irracional : raiz de 2x + 1 = -3 e essa raiz de x ao quadrado + 3x -9 = x

Answer 1

√(2x + 1) = -3
Elevando ambos termos ao quadrado:
2x + 1 = 9
2x = 8
x = 4

√(x² + 3x - 9) = x
Elevando ambos termos ao quadrado:
x² + 3x - 9 = x²
3x - 9 = 0
3x = 9
x = 3

Answer 2

Olá,

$\sqrt{2x+1}=3\\\\\ \sqrt{(2x+1)^2} = 3^2\\\\\ 2x+1=9\\\\\ 2x=8\\\\\ x=4\\\\\ \Rightarrow S=\boxed{\boxed4}\\\\\ ------------------------------------ \\\\\ \sqrt{x}^2+3x-9 =x\\\ x+3x-9=x\\\ 4x-x=9\\\ 3x=9\\\ x = \frac{9}{3}\\\ x = 3\\\ \Rightarrow S=\boxed{\boxed3}\\\\\\\\\ Espero~ter~ajudado$