Use the quadratic formula to solve the equation.

8m^2 + 13m - 7 = 0

1 answer

The quadratic formula is:

m = (-b ± sqrt(b^2 - 4ac)) / 2a

In this equation, a = 8, b = 13, and c = -7. Substitute these values into the quadratic formula and simplify.

m = (-13 ± sqrt(13^2 - 4(8)(-7))) / 2(8)
m = (-13 ± sqrt(169 + 224)) / 16
m = (-13 ± sqrt(393)) / 16

Therefore, the solutions are:

m ≈ -0.893 or m ≈ 0.68