Solve 12x^2 - 5x - 6

Evaluate

12 x^{2} - 5 x - 6

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

12 x^{2} - 5 x - 6 = 0

Substitute a= 12,b= - 5 and c= - 6 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 12 ( - 6 )}{2 \times 12}

Simplify the expression

x = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 12 ( - 6 )}{24}

Simplify the expression

More Steps

x = \frac{5 \pm 313}{24}

Separate the equation into 2 possible cases

x = \frac{5 + 313}{24} x = \frac{5 - 313}{24}

Solution

x_{1} = \frac{5 - 313}{24}, x_{2} = \frac{5 + 313}{24}

Alternative Form

x_{1} \approx - 0.528825, x_{2} \approx 0.945492

Find the roots