Solve -3x^2-13x-9

Evaluate

- 3 x^{2} - 13 x - 9

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

- 3 x^{2} - 13 x - 9 = 0

Multiply both sides

3 x^{2} + 13 x + 9 = 0

Substitute a= 3,b= 13 and c= 9 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 13 \pm 1 3 ^{2} - 4 \times 3 \times 9}{2 \times 3}

Simplify the expression

x = \frac{- 13 \pm 1 3 ^{2} - 4 \times 3 \times 9}{6}

Simplify the expression

More Steps

x = \frac{- 13 \pm 61}{6}

Separate the equation into 2 possible cases

x = \frac{- 13 + 61}{6} x = \frac{- 13 - 61}{6}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = \frac{- 13 + 61}{6} x = - \frac{13 + 61}{6}

Solution

x_{1} = - \frac{13 + 61}{6}, x_{2} = \frac{- 13 + 61}{6}

Alternative Form

x_{1} \approx - 3.468375, x_{2} \approx - 0.864958

Factor the expression