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3x^2+12x+3

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1 Answer

Since no method is suggested, and the format that the problem is written in sets it up to be used, I am going to solve with the Completing the Square method.

3x2 + 12x = 3                               Given

x2 + 4x = 1                                   Divide each term by 3 (the coefficient on the x2)

x2 + 4x + 4 = 1 + 4                        Add 4 to each side (the coefficient on x, divided by 2 and squared)

(x + 2)2 = 5                                  Factor the left side/simplify the right side

x + 2 = +/-√5                               Take the square root of each side

x = -2 +/-√5                                 Subtract 2 from each side