What are the solutions to the equation completesquare-2x^2-12x-9=0 ?

The solutions to the equation completesquare-2x^2-12x-9=0 are x= 3/(sqrt(2))-3,x=-3/(sqrt(2))-3

Find the zeros of completesquare-2x^2-12x-9=0

The zeros of completesquare-2x^2-12x-9=0 are x= 3/(sqrt(2))-3,x=-3/(sqrt(2))-3

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- 2 x^{2} - 12 x - 9 = 0

x = \frac{3}{2} - 3, x = - \frac{3}{2} - 3

Solution steps

- 2 x^{2} - 12 x - 9 = 0

Move

9

to the right side

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

Divide both sides by

- 2

\frac{- 2 x ^{2} - 12 x}{- 2} = \frac{9}{- 2}

x^{2} + 6 x = - \frac{9}{2}

Rewrite in the form

(x + a)^{2} = b

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

For

the solutions are

f (x) = a, - a

Solve

x + 3 = \frac{9}{2} : x = \frac{3}{2} - 3

Solve

x + 3 = - \frac{9}{2} : x = - \frac{3}{2} - 3

The solutions to the quadratic equation are:

x = \frac{3}{2} - 3, x = - \frac{3}{2} - 3

x^{2} + 22 x = 31

24 x^{2} - 14 x - 24 = 0

3 y (y - 6) - 8 = 12

2 x^{2} - 1 = 3 x

8 x^{2} + 2 (x + 6) = 12

What are the solutions to the equation completesquare-2x^2-12x-9=0 ?
The solutions to the equation completesquare-2x^2-12x-9=0 are x= 3/(sqrt(2))-3,x=-3/(sqrt(2))-3
Find the zeros of completesquare-2x^2-12x-9=0
The zeros of completesquare-2x^2-12x-9=0 are x= 3/(sqrt(2))-3,x=-3/(sqrt(2))-3