Solve the following quadratic equation using the quadratic formula.
- 2x2 - 7x + 13 = 0
The quadratic formula is given by x = (-b ± √(b^2 - 4ac)) / (2a)
In this equation, a = -2, b = -7, and c = 13
Using the quadratic formula, we have:
x = (-(-7) ± √((-7)^2 - 4(-2)(13))) / (2(-2))
x = (7 ± √(49 + 104)) / (-4)
x = (7 ± √153) / (-4)
Therefore, the solutions to the equation - 2x^2 - 7x + 13 = 0 are:
x = (7 + √153) / (-4)
x = (7 - √153) / (-4)