completing squares

Question

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x² – 3x – 3 = 0

Answer 1

x² - 3x - 3 = 0

x² - 3x = 3

x² - 3x + (3/2)² = 3 + (3/2)²

(x+ 3/2)² = 21/4

x + 3/2 = +/-sqrt(21)/2

x = -3/2 +/- sqrt(21)/2