What are the solutions to the equation completesquare 1-x^2-2x ?

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

Find the zeros of completesquare 1-x^2-2x

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

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complete the square

1 - x^{2} - 2 x

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

Solution steps

1 - x^{2} - 2 x

Write in the standard form

a x^{2} + b x + c

- x^{2} - 2 x + 1

Write

- x^{2} - 2 x + 1

in the form:

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

Factor out

- 1

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

2 a = 2 : a = 1

Add and subtract

1^{2}

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

Simplify

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

- 8 - 5 n^{2} = - 88

6 x^{2} - 17 x + 6 = 0

(5 x - 2)^{2} - (3 x + 1)^{2} - x^{2} - 60 = 0

x^{2} - 8 x - 11 = 0

3 x^{2} - 32 x + 64 = 0

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