What are the solutions to the equation completesquare-x^2-2x+3 ?

The solutions to the equation completesquare-x^2-2x+3 are -(x+1)^2+4

Find the zeros of completesquare-x^2-2x+3

The zeros of completesquare-x^2-2x+3 are -(x+1)^2+4

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complete the square

- x^{2} - 2 x + 3

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

Solution steps

- x^{2} - 2 x + 3

Write

- x^{2} - 2 x + 3

in the form:

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

Factor out

- 1

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

2 a = 2 : a = 1

Add and subtract

1^{2}

- (x^{2} + 2 x - 3 + 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} - 3 - 1^{2})

Simplify

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

5 - 6 x - x^{2}

(2 x + 3)^{2} = 36

(2 x + 3)^{2} = 20

x^{2} + 12 x + 8 = 0

2 x^{2} - 15 = 0

What are the solutions to the equation completesquare-x^2-2x+3 ?
The solutions to the equation completesquare-x^2-2x+3 are -(x+1)^2+4
Find the zeros of completesquare-x^2-2x+3
The zeros of completesquare-x^2-2x+3 are -(x+1)^2+4