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

The solutions to the equation completesquare 2x^2+4x-2 are 2(x+1)^2-4

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

The zeros of completesquare 2x^2+4x-2 are 2(x+1)^2-4

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complete the square

2 x^{2} + 4 x - 2

2 (x + 1)^{2} - 4

Solution steps

2 x^{2} + 4 x - 2

Write

2 x^{2} + 4 x - 2

in the form:

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

Factor out

2

2 (x^{2} + 2 x - 1)

2 a = 2 : a = 1

Add and subtract

1^{2}

2 (x^{2} + 2 x - 1 + 1^{2} - 1^{2})

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

x^{2} + 2 x + 1^{2} = (x + 1)^{2}

2 ((x + 1)^{2} - 1 - 1^{2})

Simplify

2 (x + 1)^{2} - 4

2 x^{2} + 4 x - 7

3 x^{2} - 6 = 4

a^{2} - 144 = 0

4 x^{2} - 12 x = 0

3 x^{2} - 9 = 3

What are the solutions to the equation completesquare 2x^2+4x-2 ?
The solutions to the equation completesquare 2x^2+4x-2 are 2(x+1)^2-4
Find the zeros of completesquare 2x^2+4x-2
The zeros of completesquare 2x^2+4x-2 are 2(x+1)^2-4