Quadratic Equations BLE Practice Set

Quadratic Equations [2 Marks]

1. Solve: x2 – 6x +8 = 0.

2. Solve: a2 – 5a – 20 = 4.

3. Solve:

    \[ \frac{y-4}{4} +\frac{6}{y+1} = \frac{1}{2} \]

4. Solve:

    \[ \frac{x^{2}}{25} -4 = 0 \]

5. Solve: (x + 7)2 – 49 = 0.

6. Solve: 14 – s – 3s2.

7. Find the quadratic equation having its roots as x = 7 and x = -3.

8. Find the quadratic equation having its roots as y = -1/5 and y = 1/3

9. Find the quadratic equation having its roots as t = 1/7 and t = -1.

Answers:

1. 4 and 2

2. 8 and -3

3. -18

4. 10 and -10

5. -14 and 0

6. -7/3 and 2

7. x2 -4x -21 = 0

8. 15y2 – 2y – 1 = 0

9. 7t2 + 6t – 1 = 0