Solve 3x^2-3x-8 - ScanMath

Evaluate

3 x^{2} - 3 x - 8

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

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

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

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

Simplify the expression

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

Simplify the expression

More Steps

x = \frac{3 \pm 105}{6}

Separate the equation into 2 possible cases

x = \frac{3 + 105}{6} x = \frac{3 - 105}{6}

Solution

x_{1} = \frac{3 - 105}{6}, x_{2} = \frac{3 + 105}{6}

Alternative Form

x_{1} \approx - 1.207825, x_{2} \approx 2.207825

Find the roots