SOLUTION: I am supposed to complete the square: x^2 + 5/2x = 5 How do I get rid of the fraction 5/2- I can't square it, can I? I don't know how to solve it.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I am supposed to complete the square: x^2 + 5/2x = 5 How do I get rid of the fraction 5/2- I can't square it, can I? I don't know how to solve it.      Log On


   



Question 233411: I am supposed to complete the square: x^2 + 5/2x = 5
How do I get rid of the fraction 5/2- I can't square it, can I? I don't know how to solve it.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
complete the square: x^2 + 5/2x = 5
Multiply the 5/2 by 1/2; square the result and add to both sides to get:
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x^2 + (5/2)x + (5/4)^2 = 5 + (5/4)^2
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(x+(5/4))^2 = (80/16) + (25/16) = 105/16
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Take the square root of both sides to get:
x+(5/4) = +/-(sqrt(105))/4
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x = [-5+/-(sqrt(105)]/4
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Cheers,
Stan H.