We try to bring the equation in the form of whole squares, for example: (x – a) 2 – b 2 = 0. Question 2: Factorize the following equation and find its roots: x 2 + x – 12 = 0 So, we can find out roots by equating these terms with zero. Question 1: Factorize the following equation and find its roots: 2x 2 – x – 1 = 0įor this equation two be zero, either one of these or both of these terms should be zero. Let’s look at this method in more detail using the examples below: Set the factors equal to zero to find the roots one by one.All the terms must be on one side of the equation, either LHS or RHS leaving zero on the other side.The following steps must be used for finding the roots with factorization: Then on equating these two terms to zero, we get the roots. We try to factor out the equation such that we get the equation in form of the product of two terms. There are several methods of finding out a solution to the quadratic equation given as follows: Its solution is the point where the equation is satisfied. Its shape is a parabola that opens upwards or downwards depending upon the value of “a”. Arithmetic Progression - Common difference and Nth term | Class 10 MathsĪ, b and c are real numbers while a ≠ 0.Class 10 RD Sharma Solutions- Chapter 2 Polynomials - Exercise 2.1 | Set 2.Area of a Triangle - Coordinate Geometry | Class 10 Maths.
GATE CS Original Papers and Official Keys.