What are the solutions to the equation completesquare 3x^2-24x ?

The solutions to the equation completesquare 3x^2-24x are 3(x-4)^2-48

Find the zeros of completesquare 3x^2-24x

The zeros of completesquare 3x^2-24x are 3(x-4)^2-48

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complete the square

3 x^{2} - 24 x

3 (x - 4)^{2} - 48

Solution steps

3 x^{2} - 24 x

Write

3 x^{2} - 24 x

in the form:

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

Factor out

3

3 (x^{2} - 8 x)

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

3 (x^{2} - 8 x + (- 4)^{2} - (- 4)^{2})

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

x^{2} - 8 x + (- 4)^{2} = (x - 4)^{2}

3 ((x - 4)^{2} - (- 4)^{2})

Simplify

3 (x - 4)^{2} - 48

(x + 2)^{2} = 50

3 x^{2} - 12 x

x^{2} + 5 x - 126 = 0

4 x^{2} - 28 x + 40 = 0

a^{2} = 2

What are the solutions to the equation completesquare 3x^2-24x ?
The solutions to the equation completesquare 3x^2-24x are 3(x-4)^2-48
Find the zeros of completesquare 3x^2-24x
The zeros of completesquare 3x^2-24x are 3(x-4)^2-48