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

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

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

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

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complete the square

7 - 8 x - 2 x^{2}

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

Solution steps

7 - 8 x - 2 x^{2}

Write in the standard form

a x^{2} + b x + c

- 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

x^{2} - 6 x - 66 = 0

6 x^{(2)} - 3 x = 0

28 x^{2} - 21 x = 0

y, e^{2 x} = 3 y^{2}

(x - 9)^{2} + (x + 3)^{2} = 10 x + 54

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