What are the solutions to the equation completesquare 2x^2+4x-6 ?

The solutions to the equation completesquare 2x^2+4x-6 are 2(x+1)^2-8

Find the zeros of completesquare 2x^2+4x-6

The zeros of completesquare 2x^2+4x-6 are 2(x+1)^2-8

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complete the square

2 x^{2} + 4 x - 6

2 (x + 1)^{2} - 8

Solution steps

2 x^{2} + 4 x - 6

Write

2 x^{2} + 4 x - 6

in the form:

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

Factor out

2

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

2 a = 2 : a = 1

Add and subtract

1^{2}

2 (x^{2} + 2 x - 3 + 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} - 3 - 1^{2})

Simplify

2 (x + 1)^{2} - 8

2 x^{2} - 12 x + 18 = 0

4 x^{2} - 8 x + 10 = 0

x^{2} - 14 x - 15

5 - 7 x^{2} = - 86

4 x^{2} - 8 x + 11 = 0

What are the solutions to the equation completesquare 2x^2+4x-6 ?
The solutions to the equation completesquare 2x^2+4x-6 are 2(x+1)^2-8
Find the zeros of completesquare 2x^2+4x-6
The zeros of completesquare 2x^2+4x-6 are 2(x+1)^2-8