What are the solutions to the equation completesquare-6x-x^2-8 ?

The solutions to the equation completesquare-6x-x^2-8 are -(x+3)^2+1

Find the zeros of completesquare-6x-x^2-8

The zeros of completesquare-6x-x^2-8 are -(x+3)^2+1

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complete the square

- 6 x - x^{2} - 8

- (x + 3)^{2} + 1

Solution steps

- 6 x - x^{2} - 8

Write in the standard form

a x^{2} + b x + c

- x^{2} - 6 x - 8

Write

- x^{2} - 6 x - 8

in the form:

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

Factor out

- 1

- (x^{2} + 6 x + 8)

2 a = 6 : a = 3

Add and subtract

3^{2}

- (x^{2} + 6 x + 8 + 3^{2} - 3^{2})

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

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

- ((x + 3)^{2} + 8 - 3^{2})

Simplify

- (x + 3)^{2} + 1

x^{2} - 8 x - 64 = - 8 x

3 x^{2} - 13 x - 30 = 0

1 - x^{2} - 2 x

- 8 - 5 n^{2} = - 88

6 x^{2} - 17 x + 6 = 0

What are the solutions to the equation completesquare-6x-x^2-8 ?
The solutions to the equation completesquare-6x-x^2-8 are -(x+3)^2+1
Find the zeros of completesquare-6x-x^2-8
The zeros of completesquare-6x-x^2-8 are -(x+3)^2+1