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}

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

u^{2} - 4 = 0

4 t^{2} + t + 1 = 0

4 x^{2} = - 6 x

10 b^{2} - 10 = - 141

x (x - 56) = 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+2
Find the zeros of completesquare x^2-2x+3
The zeros of completesquare x^2-2x+3 are (x-1)^2+2