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)^2-2

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

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

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complete the square

- x^{2} + 2 x - 3

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

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} - 2

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

2 s^{2} - 5 s = 3

3 x^{2} + 3 x = 2 x - 1

(λ^{2} - 14) - 20 = λ

x, x^{2} - 2 x = m^{2} + 2 m

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