# RD Sharma Class 10 Chapter 8 (Quadratic Equations) Solutions

ShareIn this chapter, you will find a variety of questions to solve from the exam point of view. While NCERT Class 10 textbook questions are straightforward, questions of **RD Sharma Class 10 Chapter-8** are twisted and require more practice. Having knowledge of previous two chapters will help you understand the concepts in a better manner.

## RD Sharma Class 10 Chapter 8 (Quadratic Equations) Solutions

Chapter 1 - Real Numbers |

Chapter 2 - Polynomials |

Chapter 3 - Pair of Linear Equations in Two Variables |

Chapter 4 - Triangles |

Chapter 5 - Trigonometric Ratios |

Chapter 6 - Trigonometric Identities |

Chapter 7 - Statistics |

Chapter 8 - Quadratic Equations |

Chapter 9 - Arithmetic Progressions |

Chapter 10 - Circles |

Chapter 11 - Constructions |

Chapter 12 - Some Application of Trigonometry |

Chapter 13 - Probability |

Chapter 14 - Co-ordinate Geometry |

Chapter 15 - Areas Related to Circles |

Chapter 16 - Surface Areas and Volumes |

**Important Formulas| RD Sharma Class 10 Chapter-8**

1. Quadratic Formula: For a given quadratic equation ax^{2}+ bx + c = 0, you can find its roots using the formula given below.

x = (-b ± √b^{2} - 4ac)/ 2a, given that b^{2} - 4ac ≥ 0

2. When you solve a quadratic equation ax^{2} + bx + c = 0, you may obtain one of the three results mentioned below.

(a). Two different real roots, if b^{2} - 4ac > 0

(b). Two roots having same values, if b^{2} - 4ac = 0

(c). No real roots, in case you obtain b^{2} - 4ac < 0

**Concepts in RD Sharma Class 10 Chapter-8**

In the beginning of Chapter-8, you have learnt to represent the quadratic equation in standard form. Next, you also got familiar with finding the roots of the equation by factorization using middle-term splitting. Alternate method of solving a quadratic equation is to complete the square.

Check out the list of concepts that will come into use when solving textbook questions of RD Sharma Class 10 Chapter-8.

- Introduction
- Quadratic Equation
- Standard Form of a Quadratic Equation
- Obtaining Solution of a Quadratic Equation by Factorization
- Obtaining Solution of a Quadratic Equation by Completing the Square
- Nature of Roots