Solve (4x^(2)) - 13x - 97

Evaluate

(4 x^{2}) - 13 x - 97

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

(4 x^{2}) - 13 x - 97 = 0

Multiply the terms

4 x^{2} - 13 x - 97 = 0

Substitute a= 4,b= - 13 and c= - 97 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{13 \pm ( - 13 ) ^{2} - 4 \times 4 ( - 97 )}{2 \times 4}

Simplify the expression

x = \frac{13 \pm ( - 13 ) ^{2} - 4 \times 4 ( - 97 )}{8}

Simplify the expression

More Steps

x = \frac{13 \pm 1721}{8}

Separate the equation into 2 possible cases

x = \frac{13 + 1721}{8} x = \frac{13 - 1721}{8}

Solution

x_{1} = \frac{13 - 1721}{8}, x_{2} = \frac{13 + 1721}{8}

Alternative Form

x_{1} \approx - 3.560617, x_{2} \approx 6.810617

Find the roots