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

Question 116235: Solve algebraically and check your potential solutions show work
squareroot x+20-x=0
Answer by ankor@dixie-net.com(22740) (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:
- x = 0
:
Add x to both sides:
= 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
- 5 = 0
- 5 = 0
5 - 5 = 0
x=-4
-(-4) = 0
x=-4
+ 4) = 0
4 + 4 does not = 0, not a solution
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