Х^2+5х-29=0

To solve the equation х^2 + 5х - 29 = 0, we can use the quadratic formula:

The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions will be:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 1, b = 5, and c = -29, so substituting these values into the quadratic formula, we get:

x = (-5 ± sqrt(5^2 - 4 * 1 * -29)) / (2 * 1)

x = (-5 ± sqrt(25 + 116)) / 2

x = (-5 ± sqrt(141)) / 2

Therefore, the solutions to the equation х^2 + 5х - 29 = 0 are:

x = (-5 + sqrt(141)) / 2

and

x = (-5 - sqrt(141)) / 2