Solve 3x^2 - 6x - 2

Evaluate

3 x^{2} - 6 x - 2

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

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

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

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

Simplify the expression

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

Simplify the expression

More Steps

x = \frac{6 \pm 60}{6}

Simplify the radical expression

More Steps

x = \frac{6 \pm 2 15}{6}

Separate the equation into 2 possible cases

x = \frac{6 + 2 15}{6} x = \frac{6 - 2 15}{6}

Simplify the expression

More Steps

x = \frac{3 + 15}{3} x = \frac{6 - 2 15}{6}

Simplify the expression

More Steps

x = \frac{3 + 15}{3} x = \frac{3 - 15}{3}

Solution

x_{1} = \frac{3 - 15}{3}, x_{2} = \frac{3 + 15}{3}

Alternative Form

x_{1} \approx - 0.290994, x_{2} \approx 2.290994

Find the roots