## RS Aggarwal Solutions Class 10 Chapter 10 - Quadratic Equations (Ex 10B) Exercise 10.2 - Free PDF

## FAQs on RS Aggarwal Solutions Class 10 Chapter 10 - Quadratic Equations (Ex 10B) Exercise 10.2

**1. What is a Quadratic Equation?**

A quadratic equation is an equation in the form ax^{2}+bx+c=0, where a ≠ 0. This equation can be written in factored form as follows: (x-x_{1})(x-x_{2})=0where x_{1} and x_{2} are roots of the equation, that is, the values of x for which ax^{2}+bx+c=0. This equation has two solutions, x_{1} and x_{2}.

Quadratic equation questions are usually asked in board exams. Students find it difficult to complete the square and solve quadratic equations. After reading these steps, students will be able to complete the square and solve quadratic equations easily.

**2. How do I solve a quadratic equation?**

There are several methods to solving quadratic equations: the quadratic formula, completing the square and factoring. In this article, we will discuss completing the square. To solve a quadratic equation by completing the square, you need to complete the square of one side of the equation and then use the quadratic formula to find its two roots. After completing the square, the coefficient of 'x' should be positive, i.e., –3 ≤ 2p ≤ 3. Students tackling quadratic equations for the first time often make mistakes at this step. The value of 'k' will always be negative too.

**3. Is it necessary that a quadratic equation must have two solutions?**

No, a quadratic equation need not have two solutions. If the discriminant (b^{2}-4ac) is equal to zero, then there will be two real solutions. If the discriminant is negative, there will be no real solution. If the discriminant is positive but less than 2, there will be exactly one real solution and many complex solutions. If the discriminant is greater than 2, there will be two complex solutions. You can use the quadratic formula to find all the solutions of a quadratic equation, whether they are real or complex.

**4. What are the benefits of completing the square?**

Completing the square is a very efficient method for solving quadratic equations. It is much faster than using the quadratic formula, and it always produces two real solutions. In addition, it is a very straightforward method to follow and does not require any complex algebraic manipulation. You can complete the square of any quadratic equation, regardless of its form. You should practise completing the square as much as possible. Vedantu helps students learn in a smart way. RS Aggarwal Solutions Class 10 Chapter 10 – Quadratic Equations will help students score more marks in the examination.