SOLUTION: How to slove this Quadratic equation by completing the square: x^2+4x-8=0
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Question 220620
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How to slove this Quadratic equation by completing the square: x^2+4x-8=0
Answer by
rapaljer(4671)
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x^2 + 4x +_____ = 8 + _____
Take HALF of the x term, and square the result. In this case, half of 4 is 2, and 2 squared is 4. So add +4 to each side:
x^2 + 4x + 4 = 8 + 4
Note Perfect Square Trinomial on the left side:
(x+2)^2 = 12
Square root each side:
(x+2) = 0+-sqrt(12)
x+2 = 0 +- sqrt(4)*sqrt(3)
Subtract 2 from each side:
x= -2 +- 2*sqrt(3)
R^2