SOLUTION: x^2+14x-5=0 I don't get how to solve any of these type of equation completing the square.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: x^2+14x-5=0 I don't get how to solve any of these type of equation completing the square.      Log On


   

Question 619404: x^2+14x-5=0

I don't get how to solve any of these type of equation completing the square.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+14x-5=0
I don't get how to solve any of these type of equations completing the square.
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x^2+14x + ? = 5 + ?
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x^2 + 14x + 7^2 = 5 + 7^2
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(x+7)^2 = 54
x+7 = +-sqrt(54)
x+7 = +-sqrt(9*6)
x+7 = +-3*sqrt(6)
x = -7+3sqrt(6) or x = -7-3sqrt(6)
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Cheers,
Stan H.