What are the solutions to the equation completesquare y^2-2y+5 ?

The solutions to the equation completesquare y^2-2y+5 are (y-1)^2+4

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

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

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complete the square

y^{2} - 2 y + 5

(y - 1)^{2} + 4

Solution steps

y^{2} - 2 y + 5

Write

y^{2} - 2 y + 5

in the form:

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

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

y^{2} - 2 y + 5 + (- 1)^{2} - (- 1)^{2}

x^{2} + 2 a x + a^{2} = (x + a)^{2}

y^{2} - 2 y + (- 1)^{2} = (y - 1)^{2}

(y - 1)^{2} + 5 - (- 1)^{2}

Simplify

(y - 1)^{2} + 4

(4 x - 5)^{2} = 49

y^{2} - 4 y + 4 = 36

7 x^{2} + 7 x = 0

6 (x^{2} - 1) = 5 x

a, a^{2} + b^{2} + c^{2} = d^{2}

What are the solutions to the equation completesquare y^2-2y+5 ?
The solutions to the equation completesquare y^2-2y+5 are (y-1)^2+4
Find the zeros of completesquare y^2-2y+5
The zeros of completesquare y^2-2y+5 are (y-1)^2+4