What are the solutions to the equation 9x^2+12x+6=0 ?

The solutions to the equation 9x^2+12x+6=0 are x=-2/3+i(sqrt(2))/3 ,x=-2/3-i(sqrt(2))/3

Find the zeros of 9x^2+12x+6=0

The zeros of 9x^2+12x+6=0 are x=-2/3+i(sqrt(2))/3 ,x=-2/3-i(sqrt(2))/3

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9 x^{2} + 12 x + 6 = 0

x = - \frac{2}{3} + i \frac{2}{3}, x = - \frac{2}{3} - i \frac{2}{3}

Solution steps

9 x^{2} + 12 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 9 \cdot 6}{2 \cdot 9}

Simplify

1 2^{2} - 4 \cdot 9 \cdot 6 : 62 i

x_{1, 2} = \frac{- 12 \pm 6 2 i}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- 12 + 6 2 i}{2 \cdot 9}, x_{2} = \frac{- 12 - 6 2 i}{2 \cdot 9}

x = \frac{- 12 + 6 2 i}{2 \cdot 9} : - \frac{2}{3} + i \frac{2}{3}

x = \frac{- 12 - 6 2 i}{2 \cdot 9} : - \frac{2}{3} - i \frac{2}{3}

The solutions to the quadratic equation are:

x = - \frac{2}{3} + i \frac{2}{3}, x = - \frac{2}{3} - i \frac{2}{3}

2 x^{2} + 5 x + 3 = 0

x, 9 x^{2} - 12 x y + 4 y^{2} + 38 x - 60 y + 121 = 0

- 6 x^{2} + 24 x + 30 = 0

3 x^{2} = 14 x + 2

4 x^{2} - 1 = 6 x

What are the solutions to the equation 9x^2+12x+6=0 ?
The solutions to the equation 9x^2+12x+6=0 are x=-2/3+i(sqrt(2))/3 ,x=-2/3-i(sqrt(2))/3
Find the zeros of 9x^2+12x+6=0
The zeros of 9x^2+12x+6=0 are x=-2/3+i(sqrt(2))/3 ,x=-2/3-i(sqrt(2))/3