What is the solution set of x2 plus 5x - 5 equals 0?

Answer 1

x2 + 5x - 5 = 0

∴ x2 + 5x + 25/4 = 45/4

∴ (x + 5/2)2 = 45/4

∴ x + 5/2 = ±√(45/4)

∴ x = -5/2 ± 3√(5)/2

∴ x = (-5 ± 3√5)/2

∴ x ∈ {(-5 - 3√5)/2, (-5 + 3√5)/2}