What are the solutions to the equation completesquare x^2-12x ?

The solutions to the equation completesquare x^2-12x are (x-6)^2-36

Find the zeros of completesquare x^2-12x

The zeros of completesquare x^2-12x are (x-6)^2-36

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complete the square

x^{2} - 12 x

(x - 6)^{2} - 36

Solution steps

x^{2} - 12 x

Write

x^{2} - 12 x

in the form:

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

2 a = - 12 : a = - 6

Add and subtract

(- 6)^{2}

x^{2} - 12 x + (- 6)^{2} - (- 6)^{2}

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

x^{2} - 12 x + (- 6)^{2} = (x - 6)^{2}

(x - 6)^{2} - (- 6)^{2}

Simplify

(x - 6)^{2} - 36

x^{2} - x - 6 = 0

x^{2} + 9 x + 20 = 0

3 x^{2} - 12 x + 8 = 0

x^{2} - 12 x + 6 = 0

2 - x^{2} = x

What are the solutions to the equation completesquare x^2-12x ?
The solutions to the equation completesquare x^2-12x are (x-6)^2-36
Find the zeros of completesquare x^2-12x
The zeros of completesquare x^2-12x are (x-6)^2-36