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

The solutions to the equation completesquare 4-x^2-2x are -(x+1)^2+5

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

The zeros of completesquare 4-x^2-2x are -(x+1)^2+5

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complete the square

4 - x^{2} - 2 x

- (x + 1)^{2} + 5

Solution steps

4 - x^{2} - 2 x

Write in the standard form

a x^{2} + b x + c

- x^{2} - 2 x + 4

Write

- x^{2} - 2 x + 4

in the form:

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

Factor out

- 1

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

2 a = 2 : a = 1

Add and subtract

1^{2}

- (x^{2} + 2 x - 4 + 1^{2} - 1^{2})

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

x^{2} + 2 x + 1^{2} = (x + 1)^{2}

- ((x + 1)^{2} - 4 - 1^{2})

Simplify

- (x + 1)^{2} + 5

11 x^{2} + 7 x - 30 = 0

x^{2} + 6 x + 5 = 0

8 x^{2} = - 2 + 17 x

y, x^{2} + x y + y^{2} = 3

6 x^{2} - 19 x - 7 = 0

What are the solutions to the equation completesquare 4-x^2-2x ?
The solutions to the equation completesquare 4-x^2-2x are -(x+1)^2+5
Find the zeros of completesquare 4-x^2-2x
The zeros of completesquare 4-x^2-2x are -(x+1)^2+5