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

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

Find the zeros of completesquare y^2-2y

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

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complete the square

y^{2} - 2 y

(y - 1)^{2} - 1

Solution steps

y^{2} - 2 y

Write

y^{2} - 2 y

in the form:

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

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

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

Simplify

(y - 1)^{2} - 1

y (y + 4) = - 4

4 x^{2} - 4 x - 8 = 0

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

- 2 x^{2} + 2 x - 3 = 0

- 36 + (x - 12)^{2} = 24

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