What are the solutions to the equation completesquare 3x^2+12x-9 ?

The solutions to the equation completesquare 3x^2+12x-9 are 3(x+2)^2-21

Find the zeros of completesquare 3x^2+12x-9

The zeros of completesquare 3x^2+12x-9 are 3(x+2)^2-21

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complete the square

3 x^{2} + 12 x - 9

3 (x + 2)^{2} - 21

Solution steps

3 x^{2} + 12 x - 9

Write

3 x^{2} + 12 x - 9

in the form:

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

Factor out

3

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

2 a = 4 : a = 2

Add and subtract

2^{2}

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

Simplify

3 (x + 2)^{2} - 21

x, 9 x^{2} - m^{2} = 0

t^{2} - 6 t + 13 = 0

2 m^{2} + 7 m - 4 = 0

y^{2} + 3 y - 1

(x - 1)^{2} - x (2 x - 5) = 0

What are the solutions to the equation completesquare 3x^2+12x-9 ?
The solutions to the equation completesquare 3x^2+12x-9 are 3(x+2)^2-21
Find the zeros of completesquare 3x^2+12x-9
The zeros of completesquare 3x^2+12x-9 are 3(x+2)^2-21