What are the solutions to the equation completesquare-x^2-4x-2 ?

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

Find the zeros of completesquare-x^2-4x-2

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

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complete the square

- x^{2} - 4 x - 2

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

Solution steps

- x^{2} - 4 x - 2

Write

- x^{2} - 4 x - 2

in the form:

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

Factor out

- 1

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

2 a = 4 : a = 2

Add and subtract

2^{2}

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

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

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

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

Simplify

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

(x + 4)^{2} - 38 = - 22

x^{2} + 9 = 3

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

3 p^{2} + 11 p = 4

13 + 3 x^{2} = 16

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