What are the solutions to the equation completesquare-2x^2-16x-37 ?

The solutions to the equation completesquare-2x^2-16x-37 are -2(x+4)^2-5

Find the zeros of completesquare-2x^2-16x-37

The zeros of completesquare-2x^2-16x-37 are -2(x+4)^2-5

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complete the square

- 2 x^{2} - 16 x - 37

- 2 (x + 4)^{2} - 5

Solution steps

- 2 x^{2} - 16 x - 37

Write

- 2 x^{2} - 16 x - 37

in the form:

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

Factor out

- 2

- 2 (x^{2} + 8 x + \frac{37}{2})

2 a = 8 : a = 4

Add and subtract

4^{2}

- 2 (x^{2} + 8 x + \frac{37}{2} + 4^{2} - 4^{2})

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

x^{2} + 8 x + 4^{2} = (x + 4)^{2}

- 2 ((x + 4)^{2} + \frac{37}{2} - 4^{2})

Simplify

- 2 (x + 4)^{2} - 5

25 k^{2} - 36 = 0

4 x^{2} - x - 3 = 0

y, x = y^{2} - z^{2}

0 = 6 x^{2} - x - 2

(x + 7)^{2} - 5 (x + 7) - 14 = 0

What are the solutions to the equation completesquare-2x^2-16x-37 ?
The solutions to the equation completesquare-2x^2-16x-37 are -2(x+4)^2-5
Find the zeros of completesquare-2x^2-16x-37
The zeros of completesquare-2x^2-16x-37 are -2(x+4)^2-5