SOLUTION: I have tried and can't figure this one out. Please help. x-5(sqrt x)+4=0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I have tried and can't figure this one out. Please help. x-5(sqrt x)+4=0      Log On


   

Question 321011: I have tried and can't figure this one out. Please help.
x-5(sqrt x)+4=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Where did you get stuck?
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x-5sqrt%28x%29%2B4=0
x%2B4=5sqrt%28x%29
Square both sides.
x%5E2%2B8x%2B16=25x
x%5E2-17x%2B16=0
Factor the quadratic.
%28x-16%29%28x-1%29=0
Two solutions:
x-16=0
x=16
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x-1=0
x=1.
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Verify both solutions.
x=16
16-5%2Asqrt%2816%29%2B4=0
20-20=0
0=0
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x=1
1-5%2Asqrt%281%29%2B4=0
5-5=0
0=0
Both solutions have been verified.