## ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 7 Quadratic Equations

**Question 1.**

**Solve the following (1 to 12) equations:**

**(i) x² – 11x + 30 = 0**

**(ii) 4x² -25 = 0**

**Solution:**

**Question 2.**

**(i) 2x² – 5x = 0**

**(ii) x² – 2x = 48**

**Solution:**

**Question 3.**

**(i) 6 + x = x²**

**(ii) 2x² + 3x + 1= 0**

**Solution:**

**Question 4.**

**(i) 3x² = 2x + 8**

**(ii) 4x² + 15 = 16x**

**Solution:**

**Question 5.**

**(i) x (2x + 5) = 25**

**(ii) (x +3) (x – 3) = 40**

**Solution:**

**Question 6.**

**(i) (2x + 3) (x – 4) = 6**

**(ii) (3x + 1) (2x + 3) = 3**

**Solution:**

**Question 7.**

**(i) 4x² + 4x + 1 = 0**

**(ii) (x – 4)² + 5²= 132**

**Solution:**

**Question 8.**

**(i) 21x² = 4(2x + 1)**

**(ii) \(\frac { 2 }{ 3 }\) x2 – \(\frac { 1 }{ 3 }\) x – 1 = 0**

**Solution:**

**Question 9.**

**(i) 6x + 29 = \(\frac { 5 }{ x }\)**

**(ii) x + \(\frac { 1 }{ x }\) = 2 \(\frac { 1 }{ 2 }\)**

**Solution:**

**Question 10.**

**Solution:**

**Question 11.**

**Solution:**

**Question 12.**

**Solution:**

**Multiple Choice Questions**

**Choose the correct Solution from the given four options (1 to 5):**

**Question 1.**

**Which of the following is not a quadratic equation :**

**(a) 2x² = 3x – 5**

**(b) (2x- 1) (x- 1) = 2x² – 7x + 2**

**(c) (2x – 1) (x + 2) = (x – 1) (x + 1)**

**(d) (x+ 1), = x, + 2x+2**

**Solution:**

(2x – 1) (x – 1) = 2x² – 7x + 2 is not a quadratic equation.** (b)**

**Question 2.**

**If 2 is a root of the quadratic equation 2x² – kx + 1 = 0, then the value of k is**

**Solution:**

**Question 3.**

**If -3 is a root of the quadratic equation kx² + 2x – 3 = 0, then the value of k is**

**(a) 1**

**(b) -1**

**(c) \(\frac { 1 }{ 9 }\)**

**(d) \(\frac { 1 }{ -9 }\)**

**Solution:**

**Question 4.**

**Which of the following quadratic equations has -1 as a root?**

**(a) x² + 5x + 6 = 0**

**(b) 2x² – 3x + 1 = 0**

**(c) 2x² + x – 3 = 0**

**(d) 2x² – x – 3 = 0**

**Solution:**

**Question 5.**

**The root of the quadratic equation x² – 3x – 4 = 0 are**

**(a) -4, 1**

**(b) 4, -1**

**(c) 4, 1**

**(d) -4, -1**

**Solution:**

**Chapter Test**

**Solve the following (1 to 3) equations :**

**Question 1.**

**(i) x(2x+ 5) = 3**

**(ii) 3x² – 4x – 4 = 0**

**Solution:**

**Question 2.**

**(i) 4x² – 2x + \(\frac { 1 }{ 4 }\) = 0**

**(ii) 2x² + 7x + 6 = 0**

**Solution:**

**Question 3.**

**Solution:**