Answer:
Step-by-step explanation:
[tex]\sf x^2=x+2[/tex]
Subtract x+2 from both sides of the equation:
[tex]\sf x^2-(x+2)=x+2-(x+2)[/tex]
[tex]\sf x2-x-2=0[/tex]
Now, factor left side of equation:
[tex]\sf (x+1)(x-2)=0[/tex]
Set the factors equal to zero:
[tex]\sf x+1=0[/tex] [tex]\sf x-2=0[/tex]
[tex]\boxed{\sf x=-1}[/tex] [tex]\boxed{\sf x=2}[/tex]
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