What are the solutions to the equation 3x^2+11x+11=0 ?

The solutions to the equation 3x^2+11x+11=0 are x=-11/6+i(sqrt(11))/6 ,x=-11/6-i(sqrt(11))/6

Find the zeros of 3x^2+11x+11=0

The zeros of 3x^2+11x+11=0 are x=-11/6+i(sqrt(11))/6 ,x=-11/6-i(sqrt(11))/6

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3 x^{2} + 11 x + 11 = 0

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

Solution steps

3 x^{2} + 11 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 11 \pm 1 1 ^{2} - 4 \cdot 3 \cdot 11}{2 \cdot 3}

Simplify

1 1^{2} - 4 \cdot 3 \cdot 11 : 11 i

x_{1, 2} = \frac{- 11 \pm 11 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 11 + 11 i}{2 \cdot 3}, x_{2} = \frac{- 11 - 11 i}{2 \cdot 3}

x = \frac{- 11 + 11 i}{2 \cdot 3} : - \frac{11}{6} + i \frac{11}{6}

x = \frac{- 11 - 11 i}{2 \cdot 3} : - \frac{11}{6} - i \frac{11}{6}

The solutions to the quadratic equation are:

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

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

2 (x + 2)^{2} - (x - 1)^{2} = 2 x + 7

x^{2} + 18 x + 326 = 0

2 x^{2} + 9 x = - 7

5 x^{2} - 4 x - 7 = 1 - x

What are the solutions to the equation 3x^2+11x+11=0 ?
The solutions to the equation 3x^2+11x+11=0 are x=-11/6+i(sqrt(11))/6 ,x=-11/6-i(sqrt(11))/6
Find the zeros of 3x^2+11x+11=0
The zeros of 3x^2+11x+11=0 are x=-11/6+i(sqrt(11))/6 ,x=-11/6-i(sqrt(11))/6