What are the solutions to the equation completesquare 3z^2-12z ?

The solutions to the equation completesquare 3z^2-12z are 3(z-2)^2-12

Find the zeros of completesquare 3z^2-12z

The zeros of completesquare 3z^2-12z are 3(z-2)^2-12

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complete the square

3 z^{2} - 12 z

3 (z - 2)^{2} - 12

Solution steps

3 z^{2} - 12 z

Write

3 z^{2} - 12 z

in the form:

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

Factor out

3

3 (z^{2} - 4 z)

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

3 (z^{2} - 4 z + (- 2)^{2} - (- 2)^{2})

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

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

3 ((z - 2)^{2} - (- 2)^{2})

Simplify

3 (z - 2)^{2} - 12

5 x^{2} + 32 x - 21 = 0

q^{2} - 140 q + 4800 = 0

x^{2} + x = 210

x^{2} + 3 x = 2 (x - 1)

0 = y (4 - y)

What are the solutions to the equation completesquare 3z^2-12z ?
The solutions to the equation completesquare 3z^2-12z are 3(z-2)^2-12
Find the zeros of completesquare 3z^2-12z
The zeros of completesquare 3z^2-12z are 3(z-2)^2-12