What are the solutions to the equation -3x^2+x-1=0 ?

The solutions to the equation -3x^2+x-1=0 are x= 1/6-i(sqrt(11))/6 ,x= 1/6+i(sqrt(11))/6

Find the zeros of -3x^2+x-1=0

The zeros of -3x^2+x-1=0 are x= 1/6-i(sqrt(11))/6 ,x= 1/6+i(sqrt(11))/6

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- 3 x^{2} + x - 1 = 0

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

Solution steps

- 3 x^{2} + x - 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 ( - 3 ) ( - 1 )}{2 ( - 3 )}

Simplify

1^{2} - 4 (- 3) (- 1) : 11 i

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

Separate the solutions

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

x = \frac{- 1 + 11 i}{2 ( - 3 )} : \frac{1}{6} - i \frac{11}{6}

x = \frac{- 1 - 11 i}{2 ( - 3 )} : \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}

72 v + 32 w + 72

\frac{74 i}{1 - 6 i}

0 = 40 t - 16 t^{2} + 80

(y^{- 5})^{- 10} y^{10}

- 3 x^{2} + 10 x - 3 = 0

What are the solutions to the equation -3x^2+x-1=0 ?
The solutions to the equation -3x^2+x-1=0 are x= 1/6-i(sqrt(11))/6 ,x= 1/6+i(sqrt(11))/6
Find the zeros of -3x^2+x-1=0
The zeros of -3x^2+x-1=0 are x= 1/6-i(sqrt(11))/6 ,x= 1/6+i(sqrt(11))/6