What are the solutions to the equation completesquare y^2+10y ?

The solutions to the equation completesquare y^2+10y are (y+5)^2-25

Find the zeros of completesquare y^2+10y

The zeros of completesquare y^2+10y are (y+5)^2-25

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complete the square

y^{2} + 10 y

(y + 5)^{2} - 25

Solution steps

y^{2} + 10 y

Write

y^{2} + 10 y

in the form:

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

2 a = 10 : a = 5

Add and subtract

5^{2}

y^{2} + 10 y + 5^{2} - 5^{2}

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

y^{2} + 10 y + 5^{2} = (y + 5)^{2}

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

Simplify

(y + 5)^{2} - 25

18 x^{2} - 18 x = 0

x^{2} - 6 x + 29 = 0

x, x^{2} y = 1 + y^{2} x

15 a^{2} + 45 = 0

8 x^{2} = - 10 x

What are the solutions to the equation completesquare y^2+10y ?
The solutions to the equation completesquare y^2+10y are (y+5)^2-25
Find the zeros of completesquare y^2+10y
The zeros of completesquare y^2+10y are (y+5)^2-25