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+4

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

The zeros of completesquare x^2-2x+5 are (x-1)^2+4

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complete the square

x^{2} - 2 x + 5

(x - 1)^{2} + 4

Solution steps

x^{2} - 2 x + 5

Write

x^{2} - 2 x + 5

in the form:

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

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} + 4

16 b^{2} - 1 = 0

x^{2} - 12 x + 1

5 (x^{2} - 4) + 10 = 10

- 6 x^{2} + 12 x = 0

x^{2} = - 8 x - 7

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+4
Find the zeros of completesquare x^2-2x+5
The zeros of completesquare x^2-2x+5 are (x-1)^2+4