STEP 6

From the quadratic formula, or by completing the square, the solutions to

x^2+2*x-2 = 0

are x[1] = (-2+sqrt(12))/2 , x[2] = (-2-sqrt(12))/2 . Since sqrt(12) = 2*sqrt(3) , we can simplify and obtain the two solutions in the form

x[1] = -1+sqrt(3) , x[2] = -1-sqrt(3) .