SOLUTION: Solve algebraically and check your potential solutions show work squareroot x+20-x=0

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Question 116235: Solve algebraically and check your potential solutions show work
squareroot x+20-x=0

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve algebraically and check your potential solutions show work
squareroot x+20-x=0
:
Without the use of brackets, it's rather ambiguous what is inside the radical;
I am assuming:
sqrt%28x%2B20%29 - x = 0
:
Add x to both sides:
sqrt%28x%2B20%29 = x
:
Square both sides:
x + 20 = x^2
:
Arrange as a quadratic on the right:
0 = x^2 - x - 20
:
This will factor to:
(x-5)(x+4) = 0
Solutions
x = +5
and
x = -4
:
Check solutions in original equation:
x=5
sqrt%285%2B20%29 - 5 = 0
sqrt%2825%29 - 5 = 0
5 - 5 = 0
x=-4
sqrt%28-4%2B20%29 -(-4) = 0
x=-4
sqrt%2816%29 + 4) = 0
4 + 4 does not = 0, not a solution