What are the solutions to the equation 6x^2+4x+3=0 ?

The solutions to the equation 6x^2+4x+3=0 are x=-1/3+i(sqrt(14))/6 ,x=-1/3-i(sqrt(14))/6

Find the zeros of 6x^2+4x+3=0

The zeros of 6x^2+4x+3=0 are x=-1/3+i(sqrt(14))/6 ,x=-1/3-i(sqrt(14))/6

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6 x^{2} + 4 x + 3 = 0

x = - \frac{1}{3} + i \frac{14}{6}, x = - \frac{1}{3} - i \frac{14}{6}

Solution steps

6 x^{2} + 4 x + 3 = 0

Solve with the quadratic formula

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

Simplify

4^{2} - 4 \cdot 6 \cdot 3 : 214 i

x_{1, 2} = \frac{- 4 \pm 2 14 i}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 4 + 2 14 i}{2 \cdot 6}, x_{2} = \frac{- 4 - 2 14 i}{2 \cdot 6}

x = \frac{- 4 + 2 14 i}{2 \cdot 6} : - \frac{1}{3} + i \frac{14}{6}

x = \frac{- 4 - 2 14 i}{2 \cdot 6} : - \frac{1}{3} - i \frac{14}{6}

The solutions to the quadratic equation are:

x = - \frac{1}{3} + i \frac{14}{6}, x = - \frac{1}{3} - i \frac{14}{6}

40 - 52 x + 12 x^{2} = 0

- x^{2} - 3 x + 18 = 0

4 t^{2} - 9 t + 5 = 0

3 k^{2} - 18 k - 21 = 0

m^{2} - 6 m - 55 = 0

What are the solutions to the equation 6x^2+4x+3=0 ?
The solutions to the equation 6x^2+4x+3=0 are x=-1/3+i(sqrt(14))/6 ,x=-1/3-i(sqrt(14))/6
Find the zeros of 6x^2+4x+3=0
The zeros of 6x^2+4x+3=0 are x=-1/3+i(sqrt(14))/6 ,x=-1/3-i(sqrt(14))/6