9 Marina starts to solve the quadratic equation 3x^2+5x-2=0 3x^2+5x-2=0 (3)/(3)x^2+(5)/(3)x=(2)/(3) x^2+(5)/(3)x=(2)/(3) What value should Marina add to both sides of the equation to complete the square? A ((5)/(6))^2 B ((5)/(3))^2 -(2)/(3) D (10)/(3)

To complete the square for an equation in the form of , you need to add \(\left(\frac{b}{2}\right)^2\) to both sides of the equation.In the given equation , the value of is .So, the value to add to both sides to complete the square is \(\left(\frac{5/3}{2}\right)^2\).\(\left(\frac{5/3}{2}\right)^2 = \left(\frac{5}{6}\right)^2 = \frac{25}{36}\).The correct answer is:(A) \(\left(\frac{5}{6}\right)^2\)