What are the solutions to the equation completesquare-2x^2+8x+5 ?

The solutions to the equation completesquare-2x^2+8x+5 are -2(x-2)^2+13

Find the zeros of completesquare-2x^2+8x+5

The zeros of completesquare-2x^2+8x+5 are -2(x-2)^2+13

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complete the square

- 2 x^{2} + 8 x + 5

- 2 (x - 2)^{2} + 13

Solution steps

- 2 x^{2} + 8 x + 5

Write

- 2 x^{2} + 8 x + 5

in the form:

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

Factor out

- 2

- 2 (x^{2} - 4 x - \frac{5}{2})

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

- 2 (x^{2} - 4 x - \frac{5}{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{5}{2} - (- 2)^{2})

Simplify

- 2 (x - 2)^{2} + 13

(x + 3)^{2} + 81 = 0

x^{2} - 5 = 7

18 = x^{2} + 3 x

x, s (x) = 6 x^{2} + 3

x^{2} = 6 x - 13

What are the solutions to the equation completesquare-2x^2+8x+5 ?
The solutions to the equation completesquare-2x^2+8x+5 are -2(x-2)^2+13
Find the zeros of completesquare-2x^2+8x+5
The zeros of completesquare-2x^2+8x+5 are -2(x-2)^2+13