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

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

Find the zeros of completesquare-3x^2+12x

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

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complete the square

- 3 x^{2} + 12 x

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

Solution steps

- 3 x^{2} + 12 x

Write

- 3 x^{2} + 12 x

in the form:

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

Factor out

- 3

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

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

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

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

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

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

Simplify

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

x, f (x + h) = 10 + 3 x^{2}

x^{2} - 8 x - 38 = 0

- 5 x^{2} + 35 x - 60 = 0

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

11 (x + 2) (x - 7) = 0

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