X^2=x+2 Please solve by factoring But I’ll take anything honestly

Question

asked Aug 18, 2022 17.0k views

1 Answer

Jojomojo · Answer 1 · 2022-08-25T08:16:36+0000

Answer:

Explanation:

$\sf x^2=x+2$

Subtract x+2 from both sides of the equation:

$\sf x^2-(x+2)=x+2-(x+2)$

$\sf x2-x-2=0$

Now, factor left side of equation:

$\sf (x+1)(x-2)=0$

Set the factors equal to zero:

$\sf x+1=0$
$\sf x-2=0$

$\boxed{\sf x=-1}$
$\boxed{\sf x=2}$

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