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

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

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

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

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complete the square

9 x^{2} - 36 x

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

Solution steps

9 x^{2} - 36 x

Write

9 x^{2} - 36 x

in the form:

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

Factor out

9

9 (x^{2} - 4 x)

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

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

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

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

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

Simplify

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

3 m^{2} + 15 m + 21 = 4

7 x^{2} = 4 x - 1

(5 x + 6) (4 x - 5) = (5 x + 6) (x + 10) - 42 x

x^{2} - 6 x - 135 = 0

x^{2} + 16 x + 89 = 0

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