What are the solutions to the equation completesquare-x^2-2x+5 ?

The solutions to the equation completesquare-x^2-2x+5 are -(x+1)^2+6

Find the zeros of completesquare-x^2-2x+5

The zeros of completesquare-x^2-2x+5 are -(x+1)^2+6

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complete the square

- x^{2} - 2 x + 5

- (x + 1)^{2} + 6

Solution steps

- x^{2} - 2 x + 5

Write

- x^{2} - 2 x + 5

in the form:

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

Factor out

- 1

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

2 a = 2 : a = 1

Add and subtract

1^{2}

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

Simplify

- (x + 1)^{2} + 6

(2 x + 1)^{2} - 10 x = 19

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

a, a^{2} - 2 ab + b^{2} = 1

2 g^{2} + 8 g + 8 = 0

x^{2} - 10 = - 6 x

What are the solutions to the equation completesquare-x^2-2x+5 ?
The solutions to the equation completesquare-x^2-2x+5 are -(x+1)^2+6
Find the zeros of completesquare-x^2-2x+5
The zeros of completesquare-x^2-2x+5 are -(x+1)^2+6