Solve the equation by completing the square w2+3w-5=0the answer is 1.19, -4.19

(w² +3w +(3/2)²) -5 -(3/2)² = 0 . . . . . add and subtract the square of half the w coefficient
(w +3/2))² - 7.25 = 0 . . . . rewrite as square
w = -1.5 ±√7.25 . . . . . . .. add 7.25, square root, subtract 1.5

w ≈ {1.193, -4.193}