Solve -3x^{2}-x-6

Evaluate

- 3 x^{2} - x - 6

To find the roots of the expression,set the expression equal to 0

- 3 x^{2} - x - 6 = 0

Multiply both sides

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

Substitute a= 3,b= 1 and c= 6 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 1 \pm 1 ^{2} - 4 \times 3 \times 6}{2 \times 3}

Simplify the expression

x = \frac{- 1 \pm 1 ^{2} - 4 \times 3 \times 6}{6}

Simplify the expression

More Steps

x = \frac{- 1 \pm - 71}{6}

Simplify the radical expression

More Steps

x = \frac{- 1 \pm 71 \times i}{6}

Separate the equation into 2 possible cases

x = \frac{- 1 + 71 \times i}{6} x = \frac{- 1 - 71 \times i}{6}

Simplify the expression

More Steps

x = - \frac{1}{6} + \frac{71}{6} i x = \frac{- 1 - 71 \times i}{6}

Simplify the expression

More Steps

x = - \frac{1}{6} + \frac{71}{6} i x = - \frac{1}{6} - \frac{71}{6} i

Solution

x_{1} = - \frac{1}{6} - \frac{71}{6} i, x_{2} = - \frac{1}{6} + \frac{71}{6} i

Alternative Form

x_{1} \approx - 0.1 \dot{6} - 1.404358 i, x_{2} \approx - 0.1 \dot{6} + 1.404358 i

Factor the expression