Solve 4x ^ 2 - 5x - 12

Evaluate

4 x^{2} - 5 x - 12

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

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

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

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

Simplify the expression

x = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 4 ( - 12 )}{8}

Simplify the expression

More Steps

x = \frac{5 \pm 217}{8}

Separate the equation into 2 possible cases

x = \frac{5 + 217}{8} x = \frac{5 - 217}{8}

Solution

x_{1} = \frac{5 - 217}{8}, x_{2} = \frac{5 + 217}{8}

Alternative Form

x_{1} \approx - 1.216365, x_{2} \approx 2.466365

Find the roots