What are the solutions to the equation completesquare 9y^2-36y ?

The solutions to the equation completesquare 9y^2-36y are 9(y-2)^2-36

Find the zeros of completesquare 9y^2-36y

The zeros of completesquare 9y^2-36y are 9(y-2)^2-36

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complete the square

9 y^{2} - 36 y

9 (y - 2)^{2} - 36

Solution steps

9 y^{2} - 36 y

Write

9 y^{2} - 36 y

in the form:

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

Factor out

9

9 (y^{2} - 4 y)

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

9 (y^{2} - 4 y + (- 2)^{2} - (- 2)^{2})

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

y^{2} - 4 y + (- 2)^{2} = (y - 2)^{2}

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

Simplify

9 (y - 2)^{2} - 36

4 x^{2} - 196 = 0

6 + (5 x) (2 x) - 8 + 2 x = 2 x (x + 1)

y, x^{3} - 2 y^{2} - 9 = x

\frac{9}{16} - \frac{x ^{2}}{81} = 0

0.4 x^{2} + 1.5 x - 1.3 = 0

What are the solutions to the equation completesquare 9y^2-36y ?
The solutions to the equation completesquare 9y^2-36y are 9(y-2)^2-36
Find the zeros of completesquare 9y^2-36y
The zeros of completesquare 9y^2-36y are 9(y-2)^2-36