Solve 0=8x^(2)-7x-13

Evaluate

0 = 8 x^{2} - 7 x - 13

Swap the sides

8 x^{2} - 7 x - 13 = 0

Substitute a= 8,b= - 7 and c= - 13 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 8 ( - 13 )}{2 \times 8}

Simplify the expression

x = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 8 ( - 13 )}{16}

Simplify the expression

More Steps

x = \frac{7 \pm 465}{16}

Separate the equation into 2 possible cases

x = \frac{7 + 465}{16} x = \frac{7 - 465}{16}

Solution

x_{1} = \frac{7 - 465}{16}, x_{2} = \frac{7 + 465}{16}

Alternative Form

x_{1} \approx - 0.910241, x_{2} \approx 1.785241

Solve the quadratic equation