What are the solutions to the equation 3x^2+8x+6=0 ?

The solutions to the equation 3x^2+8x+6=0 are x=-4/3+i(sqrt(2))/3 ,x=-4/3-i(sqrt(2))/3

Find the zeros of 3x^2+8x+6=0

The zeros of 3x^2+8x+6=0 are x=-4/3+i(sqrt(2))/3 ,x=-4/3-i(sqrt(2))/3

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3 x^{2} + 8 x + 6 = 0

x = - \frac{4}{3} + i \frac{2}{3}, x = - \frac{4}{3} - i \frac{2}{3}

Solution steps

3 x^{2} + 8 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 3 \cdot 6}{2 \cdot 3}

Simplify

8^{2} - 4 \cdot 3 \cdot 6 : 22 i

x_{1, 2} = \frac{- 8 \pm 2 2 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 8 + 2 2 i}{2 \cdot 3}, x_{2} = \frac{- 8 - 2 2 i}{2 \cdot 3}

x = \frac{- 8 + 2 2 i}{2 \cdot 3} : - \frac{4}{3} + i \frac{2}{3}

x = \frac{- 8 - 2 2 i}{2 \cdot 3} : - \frac{4}{3} - i \frac{2}{3}

The solutions to the quadratic equation are:

x = - \frac{4}{3} + i \frac{2}{3}, x = - \frac{4}{3} - i \frac{2}{3}

- 2 x^{2} + 36 x - 170 = 0

4 x^{2} - 12 x + 7 = 0

4 x^{2} + 3 = 4 x

x^{2} + 2 x = - 20

14 x^{2} - 21 x = 0

What are the solutions to the equation 3x^2+8x+6=0 ?
The solutions to the equation 3x^2+8x+6=0 are x=-4/3+i(sqrt(2))/3 ,x=-4/3-i(sqrt(2))/3
Find the zeros of 3x^2+8x+6=0
The zeros of 3x^2+8x+6=0 are x=-4/3+i(sqrt(2))/3 ,x=-4/3-i(sqrt(2))/3