SOLUTION: complete the square of y = ax 2+bx+c Thank You:)

Question 514733: complete the square of y = ax 2+bx+c
Thank You:)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
complete the square of y = ax^2+bx+c
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ax^2 + bx + c = 0
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x^2 + (b/a)x + (c/a) = 0
----
x^2 + (b/a)x + (b/2a)^2 = -(c/a) + (b/2a)^2
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x^2 + (b/a)x + (b/2a)^2 = -(c/a) + b^2/4a^2
----
x^2 + (b/a)x + (b/2a)^2 = (-4ac + b^2)/(4a^2)
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Take the square root of both sides to get:
x + (b/2a) = +/-sqrt(b^2 - 4ac)/(2a)
----
x = [-b +- sqrt(b^2-4ac)]/(2a)
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Cheers,
Stan H.
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