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complete the square to express f(x)=12x^2+24x+48

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complete the square to express f(x)=12x^2+24x+48.

asked Feb 21, 2014 in ALGEBRA 1 by angel12 Scholar

1 Answer

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Let us assume f(x) = 12x2 +24x + 48 = 0.

12x2 +24x + 48 = 0

Divide each side by 12.

x2 +2x + 4 = 0

Separate variables and constants aside by subtracting 4 from each side.

x2 +2x = -4

To change the expression into a perfect square trinomial add (half the x coefficient)² to each side of the expression.

Add 1 to each side.

x2 +2x +1= -4+1

(x +1)2 = -3

(x +1)2 = i23   (i2 = -1)

Take square root both sides.

x +1 = ± isqrt(3)

Subtract 1 from each side.

x = -1 ± isqrt(3).

answered Mar 20, 2014 by goushi Pupil

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