SOLUTION: Hello, my question is; Find all real numbers X that satisfy the equation {sqrt(x^2-2)=sqrt(3-x)}

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Question 1198568: Hello,
my question is;
Find all real numbers X that satisfy the equation {sqrt(x^2-2)=sqrt(3-x)}
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%28x%5E2-2%29=sqrt%283-x%29---square both sides
%28sqrt%28x%5E2-2%29%29%5E2=%28sqrt%283-x%29%29%5E2
x%5E2-2=3-x
x%5E2-2-3%2Bx=0
x%5E2%2Bx-5=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A1%2A%28-5%29+%29%29%2F%282%2A1%29+
x+=+%28-1+%2B-+sqrt%28+1%2B20%29%29%2F2
x+=+%28-1+%2B-+sqrt%28+21%29%29%2F2

x+=+sqrt%2821%29%2F2+-+1%2F2
or
x+=+-sqrt%2821%29%2F2+-+1%2F2