What are the solutions to the equation completesquare x^2-24x ?

The solutions to the equation completesquare x^2-24x are (x-12)^2-144

Find the zeros of completesquare x^2-24x

The zeros of completesquare x^2-24x are (x-12)^2-144

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complete the square

x^{2} - 24 x

(x - 12)^{2} - 144

Solution steps

x^{2} - 24 x

Write

x^{2} - 24 x

in the form:

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

2 a = - 24 : a = - 12

Add and subtract

(- 12)^{2}

x^{2} - 24 x + (- 12)^{2} - (- 12)^{2}

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

x^{2} - 24 x + (- 12)^{2} = (x - 12)^{2}

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

Simplify

(x - 12)^{2} - 144

x^{2} - 12 x = 85

x^{2} - 12 x + 32 = 4

x^{2} - 18 x = - 117

(2 x - 3)^{2} - 33 = 10

s^{2} + 2 s + 3 = 0

What are the solutions to the equation completesquare x^2-24x ?
The solutions to the equation completesquare x^2-24x are (x-12)^2-144
Find the zeros of completesquare x^2-24x
The zeros of completesquare x^2-24x are (x-12)^2-144