What are the solutions to the equation completesquare-3x^2+12x+8 ?

The solutions to the equation completesquare-3x^2+12x+8 are -3(x-2)^2+20

Find the zeros of completesquare-3x^2+12x+8

The zeros of completesquare-3x^2+12x+8 are -3(x-2)^2+20

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complete the square

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

- 3 (x - 2)^{2} + 20

Solution steps

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

Write

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

in the form:

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

Factor out

- 3

- 3 (x^{2} - 4 x - \frac{8}{3})

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

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

Simplify

- 3 (x - 2)^{2} + 20

x^{2} + (2 - x)^{2} = 884

x, y^{2} x^{2} - 4 x^{2} = - y^{2} - 9

(2 x - 3)^{2} - (3 x + 1) (3 x - 1) = (x - 7) (x + 2) + 24

\frac{1}{2} x^{2} - x - 1 = - x + 1

13 t^{2} - 8 t + 1 = - 3 t^{2}

What are the solutions to the equation completesquare-3x^2+12x+8 ?
The solutions to the equation completesquare-3x^2+12x+8 are -3(x-2)^2+20
Find the zeros of completesquare-3x^2+12x+8
The zeros of completesquare-3x^2+12x+8 are -3(x-2)^2+20