Solve 3x^2 - 2x - 6

Evaluate

3 x^{2} - 2 x - 6

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

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

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

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

Simplify the expression

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

Simplify the expression

More Steps

x = \frac{2 \pm 76}{6}

Simplify the radical expression

More Steps

x = \frac{2 \pm 2 19}{6}

Separate the equation into 2 possible cases

x = \frac{2 + 2 19}{6} x = \frac{2 - 2 19}{6}

Simplify the expression

More Steps

x = \frac{1 + 19}{3} x = \frac{2 - 2 19}{6}

Simplify the expression

More Steps

x = \frac{1 + 19}{3} x = \frac{1 - 19}{3}

Solution

x_{1} = \frac{1 - 19}{3}, x_{2} = \frac{1 + 19}{3}

Alternative Form

x_{1} \approx - 1.119633, x_{2} \approx 1.7863

Find the roots