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)^2-27

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

The zeros of completesquare 2x^2-12x-9 are 2(x-3)^2-27

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complete the square

2 x^{2} - 12 x - 9

2 (x - 3)^{2} - 27

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} - 27

(x - 10)^{2} + x (x + 17) = 104

25 a = 10 a^{2}

x^{2} - 4 x = 3 x - 12

4 x (x + 8) = 15

x^{2} + (53)^{2} = (2 x)^{2}

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)^2-27
Find the zeros of completesquare 2x^2-12x-9
The zeros of completesquare 2x^2-12x-9 are 2(x-3)^2-27