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

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

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

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

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complete the square

x^{2} - 2 x + 2

(x - 1)^{2} + 1

Solution steps

x^{2} - 2 x + 2

Write

x^{2} - 2 x + 2

in the form:

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

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

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

Simplify

(x - 1)^{2} + 1

4 (x - 1)^{2} = 36

5 x^{2} + 40 x = 0

5 (x^{2} - 9) - 5 = - 5

- 6 m^{2} = 150

x, 2 x y^{2} + 4 = 2 (3 - x^{2} y) y

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