Mathematics can be both fantastic and challenging at the same time. Specially in class 10 when students have to give board paper. So our NCERT class 10 Mathematics Chapter 4 Quadratic Equations notes will provide conceptual clarity to the students. It will work like a bridge for students between class room theory lecture and solving exercise at home.
These Class 10 Chapter 4 Quadratic Equations Notes is a masterstroke for students who want to pursue a career in science, like becoming an engineer, scientist etc. Most of the concept given in class 11 maths have already been introduced in class 10 maths. So these notes are also the foundation of class 11 math.
Class 10 Maths Chapter 4 Quadratic Equations Notes
Chapter 3: Pair of Linear Equations in Two Variables Notes
Chapter 5: Arithmetic Progressions Notes
Below we have also given most important topics of NCERT Class 10 Mathematics chapter 4 Quadratic Equations Notes. Students should revise these notes regularly to remember the chapter properly.
Important Topics of Quadratic Equations Notes
A quadratic equation can be solved by following algebraic methods:
i. Splitting the middle term (factorization)
ii. Completing squares
iii. Quadratic formula
5. Splitting the middle term (or factorization) method
- Step 1: Find the product ac.
Step 3: Split the middle term into two parts using the factors obtained in the above step.
Step 4: Factorize the quadratic equation obtained in the above step by grouping method. Two factors will be obtained.
Step 5: Equate each of the linear factors to zero to get the value of x.
6. Completing the square method
Step 1: Make the coefficient of x2 unity.
Step 2: Express the coefficient of x in the form 2 x p.
Step 3: Add and subtract the square of p.
Step 5: Take the constant term to the other side of the equation.
Step 6: Take the square root on both the sides of the obtained equation to get the roots of the given quadratic equation.