Respuesta :
If you let u = x+3, then the equation updates to a more simpler form: u^2+u-2 = 0
The final answer is choice B
The final answer is choice B
Answer with explanation:
The expression which we have to solve is :
(x+3)²+(x+3)-2=0
⇒This is Quadratic expression which has two roots.
To solve this, Suppose, x+3=u
The above expression reduces to
⇒u²+u-2=0
⇒u²+2 u-u-2=0
⇒u×(u+2)-1×(u+2)=0
⇒(u-1)(u+2)=0
⇒u-1=0 ∧ u+2=0
⇒u=1 ∧ u=-2
⇒x+3= 1 ∧ x+3 = -2
⇒x=1-3 ∧ x= -2-3
⇒x= -2 ∧ x=-5
u=x+3
Option B
