What are the solutions to the equation completesquare 2x^2-8x-7 ?

The solutions to the equation completesquare 2x^2-8x-7 are 2(x-2)^2-15

Find the zeros of completesquare 2x^2-8x-7

The zeros of completesquare 2x^2-8x-7 are 2(x-2)^2-15

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complete the square

2 x^{2} - 8 x - 7

2 (x - 2)^{2} - 15

Solution steps

2 x^{2} - 8 x - 7

Write

2 x^{2} - 8 x - 7

in the form:

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

Factor out

2

2 (x^{2} - 4 x - \frac{7}{2})

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

2 (x^{2} - 4 x - \frac{7}{2} + (- 2)^{2} - (- 2)^{2})

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

x^{2} - 4 x + (- 2)^{2} = (x - 2)^{2}

2 ((x - 2)^{2} - \frac{7}{2} - (- 2)^{2})

Simplify

2 (x - 2)^{2} - 15

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

x^{2} = - x^{2} + 6

y, x y^{2} - 9 x - y - 1 = 0

20 x^{2} - 9 x - 20 = 0

x^{2} - 4 x - 17 = 0

What are the solutions to the equation completesquare 2x^2-8x-7 ?
The solutions to the equation completesquare 2x^2-8x-7 are 2(x-2)^2-15
Find the zeros of completesquare 2x^2-8x-7
The zeros of completesquare 2x^2-8x-7 are 2(x-2)^2-15