What are the solutions to the equation completesquare 2x^2+12x+4 ?

The solutions to the equation completesquare 2x^2+12x+4 are 2(x+3)^2-14

Find the zeros of completesquare 2x^2+12x+4

The zeros of completesquare 2x^2+12x+4 are 2(x+3)^2-14

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complete the square

2 x^{2} + 12 x + 4

2 (x + 3)^{2} - 14

Solution steps

2 x^{2} + 12 x + 4

Write

2 x^{2} + 12 x + 4

in the form:

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

Factor out

2

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

2 a = 6 : a = 3

Add and subtract

3^{2}

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

Simplify

2 (x + 3)^{2} - 14

n^{2} - 7 n - 120 = 0

x^{2} - 4 x = 0

x^{2} - 4 x + 13

6 + 3 x^{2} = 18

x^{2} + 16

What are the solutions to the equation completesquare 2x^2+12x+4 ?
The solutions to the equation completesquare 2x^2+12x+4 are 2(x+3)^2-14
Find the zeros of completesquare 2x^2+12x+4
The zeros of completesquare 2x^2+12x+4 are 2(x+3)^2-14