What are the solutions to the equation completesquare-x^2-6x-9 ?

The solutions to the equation completesquare-x^2-6x-9 are -(x+3)^2

Find the zeros of completesquare-x^2-6x-9

The zeros of completesquare-x^2-6x-9 are -(x+3)^2

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complete the square

- x^{2} - 6 x - 9

- (x + 3)^{2}

Solution steps

- x^{2} - 6 x - 9

Write

- x^{2} - 6 x - 9

in the form:

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

Factor out

- 1

- (x^{2} + 6 x + 9)

2 a = 6 : a = 3

Add and subtract

3^{2}

- (x^{2} + 6 x + 9 + 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} + 9 - 3^{2})

Simplify

- (x + 3)^{2}

3 x - 4 x^{2} = 2 x (x + 2) - 10

x^{2} + 20 x + 700 = 0

x - 3 - 5 x^{2} = 0

y, y^{2} = 2 x

4 x^{2} + 28 x = - 19 + 5 x

What are the solutions to the equation completesquare-x^2-6x-9 ?
The solutions to the equation completesquare-x^2-6x-9 are -(x+3)^2
Find the zeros of completesquare-x^2-6x-9
The zeros of completesquare-x^2-6x-9 are -(x+3)^2