Solve 3x^(2)-4x-8

Evaluate

3 x^{2} - 4 x - 8

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

3 x^{2} - 4 x - 8 = 0

Substitute a= 3,b= - 4 and c= - 8 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{4 \pm ( - 4 ) ^{2} - 4 \times 3 ( - 8 )}{2 \times 3}

Simplify the expression

x = \frac{4 \pm ( - 4 ) ^{2} - 4 \times 3 ( - 8 )}{6}

Simplify the expression

More Steps

x = \frac{4 \pm 112}{6}

Simplify the radical expression

More Steps

x = \frac{4 \pm 4 7}{6}

Separate the equation into 2 possible cases

x = \frac{4 + 4 7}{6} x = \frac{4 - 4 7}{6}

Simplify the expression

More Steps

x = \frac{2 + 2 7}{3} x = \frac{4 - 4 7}{6}

Simplify the expression

More Steps

x = \frac{2 + 2 7}{3} x = \frac{2 - 2 7}{3}

Solution

x_{1} = \frac{2 - 2 7}{3}, x_{2} = \frac{2 + 2 7}{3}

Alternative Form

x_{1} \approx - 1.097168, x_{2} \approx 2.430501

Find the roots