Exercise 3.11: Solving a Quadratic Equation by Completing the Square Method, Formula Method

Exercise 3.11

1. Solve the following quadratic equations by completing the square method

(i) 9x 2 − 12x + 4 = 0

(ii) [(5x+7) / (x-1)] = 3x+2

2. Solve the following quadratic equations by formula method

(i) 2x 2 − 5x + 2 = 0

(ii) √2f 2 – 6f + 3√2 = 0

(iii) 3y2 − 20y − 23 = 0

(iv) 36y2 − 12ay + (a2 − b2 ) = 0

3. A ball rolls down a slope and travels a distance d = t2 − 0. 75t feet in t seconds. Find the time when the distance travelled by the ball is 11.25 feet.

Answers: