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

The solutions to the equation 6x^2+2x+2=0 are x=-1/6+i(sqrt(11))/6 ,x=-1/6-i(sqrt(11))/6

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

The zeros of 6x^2+2x+2=0 are x=-1/6+i(sqrt(11))/6 ,x=-1/6-i(sqrt(11))/6

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

x = - \frac{1}{6} + i \frac{11}{6}, x = - \frac{1}{6} - i \frac{11}{6}

Solution steps

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

Solve with the quadratic formula

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

Simplify

2^{2} - 4 \cdot 6 \cdot 2 : 211 i

x_{1, 2} = \frac{- 2 \pm 2 11 i}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 2 + 2 11 i}{2 \cdot 6}, x_{2} = \frac{- 2 - 2 11 i}{2 \cdot 6}

x = \frac{- 2 + 2 11 i}{2 \cdot 6} : - \frac{1}{6} + i \frac{11}{6}

x = \frac{- 2 - 2 11 i}{2 \cdot 6} : - \frac{1}{6} - i \frac{11}{6}

The solutions to the quadratic equation are:

x = - \frac{1}{6} + i \frac{11}{6}, x = - \frac{1}{6} - i \frac{11}{6}

x^{2} + 8 x = - 20

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

5 x^{2} - 39 x - 4 = 4

8 x^{2} - 32 = 0

x, x^{2} = y (x + 6 y)

What are the solutions to the equation 6x^2+2x+2=0 ?
The solutions to the equation 6x^2+2x+2=0 are x=-1/6+i(sqrt(11))/6 ,x=-1/6-i(sqrt(11))/6
Find the zeros of 6x^2+2x+2=0
The zeros of 6x^2+2x+2=0 are x=-1/6+i(sqrt(11))/6 ,x=-1/6-i(sqrt(11))/6