In this chapter, we provide RD Sharma Class 10 Ex 8.4 Solutions Chapter 8 Quadratic Equations for English medium students, Which will very helpful for every student in their exams. Students can download the latest RD Sharma Class 10 Ex 8.4 Solutions Chapter 8 Quadratic Equations pdf, Now you will get step by step solution to each question.

Textbook | NCERT |

Class | Class 10 |

Subject | Maths |

Chapter | Chapter 8 |

Chapter Name | Quadratic Equations |

Exercise | 8.4 |

Category | RD Sharma Solutions |

Table of Contents

**RD Sharma Solutions for Class 10 Chapter** **8**** Quadratic Equations** Ex 8.4 Download PDF

**Quadratic Equations**Ex 8.4 Download PDF

**Chapter 8: Quadratic Equations Exercise – 8.4**

**Question: 1**

By using the method of completing the square, find the roots of quadratic equations.

**Solution:**

So, the roots for the given equation are: x = 3√2or x = √2.

**Question: 2**

By using the method of completing the square, find the roots of quadratic equations.

2x^{2 }− 7x + 3 = 0

**Solution:**

2x^{2} – 7x + 3 = 0

x = 12/4 or x = 2/4

x = 3 or x = ½

**Question: 3**

By using the method of completing the square, find the roots of quadratic equations.

3x^{2} + 11x + 10 = 0

**Solution:**

3x^{2}+ 11x + 10 = 0

x = (-5)/3 or x = – 2

**Question: 4**

By using the method of completing the square, find the roots of quadratic equations.

2x^{2} + x − 4 = 0

**Solution:**

2x^{2} + x − 4 = 0

Are the two roots of the given equation.

**Question: 5**

By using the method of completing the square, find the roots of quadratic equations.

2x^{2} + x + 4 = 0

**Solution:**

2x^{2} + x + 4 = 0

x^{2} + x^{2} + 2 = 0

Since, √(-31) is not a real number, Therefore, the equation doesn’t have real roots.

**Question: 6**

By using the method of completing the square, find the roots of quadratic equations.

**Solution:**

Therefore, x = (- √3)/2 and x = (- √3)/2. Are the real roots of the given equation.

**Question: 7**

By using the method of completing the square, find the roots of quadratic equations.

**Solution:**

**Question: 8**

By using the method of completing the square, find the roots of quadratic equations.

**Solution:**

**Question: 9**

By using the method of completing the square, find the roots of quadratic equations.

**Solution:**

x = √2 or x = 1.

**Question: 10**

By using the method of completing the square, find the roots of quadratic equations.

**x ^{2} – 4ax + 4a^{2} – b^{2} = 0**

**Solution:**

x^{2} – 4ax + 4a^{2} – b^{2} = 0

x^{2 }– 2(2a).x + (2a)^{2} – b^{2 }= 0

(x – 2a)^{2} = b^{2 }x – 2a = ± b x – 2a = b or x – 2a

= – b x = 2a + b or x = 2a – b

Therefore, x = 2a + b or x = 2a – b are the two roots of the given equation.

**All Chapter RD Sharma Solutions For Class10 Maths**

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