What are the solutions to the equation completesquare 2x^2+4x-3 ?

The solutions to the equation completesquare 2x^2+4x-3 are 2(x+1)^2-5

Find the zeros of completesquare 2x^2+4x-3

The zeros of completesquare 2x^2+4x-3 are 2(x+1)^2-5

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complete the square

2 x^{2} + 4 x - 3

2 (x + 1)^{2} - 5

Solution steps

2 x^{2} + 4 x - 3

Write

2 x^{2} + 4 x - 3

in the form:

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

Factor out

2

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

2 a = 2 : a = 1

Add and subtract

1^{2}

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

Simplify

2 (x + 1)^{2} - 5

360 - 156 x + 12 x^{2} = 0

9 x^{2} = - 27

4 (x + 1)^{2} = 0

x^{2} - 17 = - 1 - 1

y, \frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

What are the solutions to the equation completesquare 2x^2+4x-3 ?
The solutions to the equation completesquare 2x^2+4x-3 are 2(x+1)^2-5
Find the zeros of completesquare 2x^2+4x-3
The zeros of completesquare 2x^2+4x-3 are 2(x+1)^2-5