What are the solutions to the equation completesquare 9x^2-54x ?

The solutions to the equation completesquare 9x^2-54x are 9(x-3)^2-81

Find the zeros of completesquare 9x^2-54x

The zeros of completesquare 9x^2-54x are 9(x-3)^2-81

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complete the square

9 x^{2} - 54 x

9 (x - 3)^{2} - 81

Solution steps

9 x^{2} - 54 x

Write

9 x^{2} - 54 x

in the form:

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

Factor out

9

9 (x^{2} - 6 x)

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

9 (x^{2} - 6 x + (- 3)^{2} - (- 3)^{2})

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

x^{2} - 6 x + (- 3)^{2} = (x - 3)^{2}

9 ((x - 3)^{2} - (- 3)^{2})

Simplify

9 (x - 3)^{2} - 81

x^{2} + 19 x + 46 = 0

3 x^{2} + 113 x - 7 = 0

3 x^{2} - 7 + 2 = 0

4 x^{2} - 11 = 14

2 - 2 x^{2} = 0

What are the solutions to the equation completesquare 9x^2-54x ?
The solutions to the equation completesquare 9x^2-54x are 9(x-3)^2-81
Find the zeros of completesquare 9x^2-54x
The zeros of completesquare 9x^2-54x are 9(x-3)^2-81