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}

Factor out

- 1

- (y^{2} - 2 y)

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 - 3)^{2} = 4

\frac{- 3 x ^{2} + 10800}{4} = 0

z, x^{2} + y^{2} + z^{2} = 4 z

x^{2} + 5 x - 14 = 0

(4 x + 7) (x - 1) = 2 (x - 1)

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