What are the solutions to the equation completesquare-2x^2-12x-9 ?

The solutions to the equation completesquare-2x^2-12x-9 are -2(x+3)^2+9

Find the zeros of completesquare-2x^2-12x-9

The zeros of completesquare-2x^2-12x-9 are -2(x+3)^2+9

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complete the square

- 2 x^{2} - 12 x - 9

- 2 (x + 3)^{2} + 9

Solution steps

- 2 x^{2} - 12 x - 9

Write

- 2 x^{2} - 12 x - 9

in the form:

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

Factor out

- 2

- 2 (x^{2} + 6 x + \frac{9}{2})

2 a = 6 : a = 3

Add and subtract

3^{2}

- 2 (x^{2} + 6 x + \frac{9}{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{9}{2} - 3^{2})

Simplify

- 2 (x + 3)^{2} + 9

x^{1} + x^{2} = 0

4 h^{2} - 12 h + 8 = 0

a^{2} - 20 = 0

m^{2} + 96 = 0

x^{2} + 12 x - 48 = 0

What are the solutions to the equation completesquare-2x^2-12x-9 ?
The solutions to the equation completesquare-2x^2-12x-9 are -2(x+3)^2+9
Find the zeros of completesquare-2x^2-12x-9
The zeros of completesquare-2x^2-12x-9 are -2(x+3)^2+9