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

The solutions to the equation completesquare-x^2+8x-7 are -(x-4)^2+9

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

The zeros of completesquare-x^2+8x-7 are -(x-4)^2+9

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complete the square

- x^{2} + 8 x - 7

- (x - 4)^{2} + 9

Solution steps

- x^{2} + 8 x - 7

Write

- x^{2} + 8 x - 7

in the form:

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

Factor out

- 1

- (x^{2} - 8 x + 7)

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

- (x^{2} - 8 x + 7 + (- 4)^{2} - (- 4)^{2})

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

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

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

Simplify

- (x - 4)^{2} + 9

x, x^{2} + x y + y^{2} - 7 = 0

x^{2} - 4 = 8 - 2 x^{2}

- 8 x^{2} + \frac{8 10}{5} x

x, x^{2} + 4 y^{2} + 9 z^{2} = 1

x^{2} + 17 x

What are the solutions to the equation completesquare-x^2+8x-7 ?
The solutions to the equation completesquare-x^2+8x-7 are -(x-4)^2+9
Find the zeros of completesquare-x^2+8x-7
The zeros of completesquare-x^2+8x-7 are -(x-4)^2+9