What are the solutions to the equation completesquare 2x^2+12x+3 ?

The solutions to the equation completesquare 2x^2+12x+3 are 2(x+3)^2-15

Find the zeros of completesquare 2x^2+12x+3

The zeros of completesquare 2x^2+12x+3 are 2(x+3)^2-15

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complete the square

2 x^{2} + 12 x + 3

2 (x + 3)^{2} - 15

Solution steps

2 x^{2} + 12 x + 3

Write

2 x^{2} + 12 x + 3

in the form:

x^{2} + 2 a x + a^{2}

Factor out

2

2 (x^{2} + 6 x + \frac{3}{2})

2 a = 6 : a = 3

Add and subtract

3^{2}

2 (x^{2} + 6 x + \frac{3}{2} + 3^{2} - 3^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} + 6 x + 3^{2} = (x + 3)^{2}

2 ((x + 3)^{2} + \frac{3}{2} - 3^{2})

Simplify

2 (x + 3)^{2} - 15

2 x^{2} + 12 x + 5

2 x^{2} + 12 x + 7

12 x^{2} - 3 = 0

x^{2} + 45 = 14 x

x^{2} - x + 1

What are the solutions to the equation completesquare 2x^2+12x+3 ?
The solutions to the equation completesquare 2x^2+12x+3 are 2(x+3)^2-15
Find the zeros of completesquare 2x^2+12x+3
The zeros of completesquare 2x^2+12x+3 are 2(x+3)^2-15