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)^2-21

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

The zeros of completesquare 2x^2+12x-3 are 2(x+3)^2-21

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complete the square

2 x^{2} + 12 x - 3

2 (x + 3)^{2} - 21

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} - 21

4.9 t^{2} + 6 t + 2 = 0

x^{2} + 4 x - 12

y, x^{2} + 3 y^{2} - 4 x + 24 y = - 52

18 x - 6 = 9 x^{2}

y, x^{2} y^{2} + x y = 12

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)^2-21
Find the zeros of completesquare 2x^2+12x-3
The zeros of completesquare 2x^2+12x-3 are 2(x+3)^2-21