What are the solutions to the equation completesquare y^2-9y ?

The solutions to the equation completesquare y^2-9y are (y-9/2)^2-81/4

Find the zeros of completesquare y^2-9y

The zeros of completesquare y^2-9y are (y-9/2)^2-81/4

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complete the square

y^{2} - 9 y

(y - \frac{9}{2})^{2} - \frac{81}{4}

Solution steps

y^{2} - 9 y

Write

y^{2} - 9 y

in the form:

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

2 a = - 9 : a = - \frac{9}{2}

Add and subtract

(- \frac{9}{2})^{2}

y^{2} - 9 y + (- \frac{9}{2})^{2} - (- \frac{9}{2})^{2}

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

y^{2} - 9 y + (- \frac{9}{2})^{2} = (y - \frac{9}{2})^{2}

(y - \frac{9}{2})^{2} - (- \frac{9}{2})^{2}

Simplify

(y - \frac{9}{2})^{2} - \frac{81}{4}

x, (y - 1)^{3} = x^{2}

3 x^{2} = 8 x - 7

x, 3 x^{2} - 6 x = 0

4 x^{2} - 225 = 0

x, x^{2} - 3 ln (y) + y^{2} = 10

What are the solutions to the equation completesquare y^2-9y ?
The solutions to the equation completesquare y^2-9y are (y-9/2)^2-81/4
Find the zeros of completesquare y^2-9y
The zeros of completesquare y^2-9y are (y-9/2)^2-81/4