What is the solution set of x 2 + 5x - 5 = 0?

X^2 + 5x - 5 = 0

This is a quadratic equation that cannot be factored. It can be solved using the quadratic formula or by completing the square.

the quadratic formula is x = (-b + - sqrt (b^2 - 4ac)) / 2a

a is the coefficient of the x^2, b is the coefficient of the x, and c is the constant.

a = 1, b = 5, c = - 5

x = (-5 + - sqrt (25+20)) / 2

x = (-5 + - sqrt (45)) / 2

x = (-5 + - 3 sqt 5)) / 2

x = (-5 + 3sqrt5) / 2 and x = (-5 - 3sqrt5) / 2