SOLUTION: Solve For X: \sqrt(5-x)=x+1

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Question 1131443: Solve For X:
\sqrt(5-x)=x+1
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve For X:
sqrt%285-x%29=x%2B1+
square both sides
5-+x+=+%28x%2B1%29%5E2
FOIL (x+1)(x+1)
5 - x = x^2 + 2x + 1
0 = x^2 + 2x + x + 1 - 5
A quadratic equation
x^2 + 3x - 4 = 0
Factors to
(x+4)(x-1) = 0
two solutions
x = -4, we don't want the square root of a negative number
therefore
x = 1 is the only solution