What are the solutions to the equation completesquare-x^2-6x+7 ?

The solutions to the equation completesquare-x^2-6x+7 are -(x+3)^2+16

Find the zeros of completesquare-x^2-6x+7

The zeros of completesquare-x^2-6x+7 are -(x+3)^2+16

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complete the square

- x^{2} - 6 x + 7

- (x + 3)^{2} + 16

Solution steps

- x^{2} - 6 x + 7

Write

- x^{2} - 6 x + 7

in the form:

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

Factor out

- 1

- (x^{2} + 6 x - 7)

2 a = 6 : a = 3

Add and subtract

3^{2}

- (x^{2} + 6 x - 7 + 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} - 7 - 3^{2})

Simplify

- (x + 3)^{2} + 16

y, y^{2} = 4 x

9 x^{2} - 23 = 0

x, 2 (x^{2} + y^{2}) = (x + y)^{2} + 64

4 x^{2} - 2 x - 9 = 0

0.000006 x^{2} + 6 = 0

What are the solutions to the equation completesquare-x^2-6x+7 ?
The solutions to the equation completesquare-x^2-6x+7 are -(x+3)^2+16
Find the zeros of completesquare-x^2-6x+7
The zeros of completesquare-x^2-6x+7 are -(x+3)^2+16