Solve 3d^2 - 5d - 9

Evaluate

3 d^{2} - 5 d - 9

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

3 d^{2} - 5 d - 9 = 0

Substitute a= 3,b= - 5 and c= - 9 into the quadratic formula d = \frac{- b \pm b ^{2} - 4 a c}{2 a}

d = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 3 ( - 9 )}{2 \times 3}

Simplify the expression

d = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 3 ( - 9 )}{6}

Simplify the expression

More Steps

d = \frac{5 \pm 133}{6}

Separate the equation into 2 possible cases

d = \frac{5 + 133}{6} d = \frac{5 - 133}{6}

Solution

d_{1} = \frac{5 - 133}{6}, d_{2} = \frac{5 + 133}{6}

Alternative Form

d_{1} \approx - 1.08876, d_{2} \approx 2.755427

Find the roots