SOLUTION: Please help me solve this equation: 4x^2+4x-11=0 It is called "completing the square" and has to do with solving quadratic equations.

Algebra ->  Square-cubic-other-roots -> SOLUTION: Please help me solve this equation: 4x^2+4x-11=0 It is called "completing the square" and has to do with solving quadratic equations.      Log On


   

Question 196860This question is from textbook McDougal Littell Algebra 1
: Please help me solve this equation: 4x^2+4x-11=0
It is called "completing the square" and has to do with solving quadratic equations. This question is from textbook McDougal Littell Algebra 1

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this equation: 4x^2+4x-11=0
It is called "completing the square" and has to do with solving quadratic equations.
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4(x^2+x + ?) = 11 + ?
4(x^2 + x + (1/2)^2) = 11 + 4*(1/2)^2
4(x+(1/2))^2 = 11 + 1
4(x+(1/2))^2 = 12
(x+(1/2))^2 = 3
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Take the square root to get:
x+(1/2) = sqrt(3) or x+ (1/2) = -sqrt(3)
x = (-1/2)+(sqrt(3) or x = (-1/2)-sqrt(3)
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Cheers,
Stan H.