# NCERT Class 10 Mathematics Chapter 4 Quadratic Equation

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## Summary

In this chapter, you have studied the following points:

1. A quadratic equation in the variable x is of the form , where are real numbers and .

2. A real number is said to be a root of the quadratic equation , if . The zeroes of the quadratic polynomial and the roots of the quadratic equation are the same.

3. If we can factorise , , into a product of two linear factors, then the roots of the quadratic equation can be found by equating each factor to zero.

4. A quadratic equation can also be solved by the method of completing the square.

5. Quadratic formula: The roots of a quadratic equation are given by

, provided .

6. A quadratic equation has

(i) two distinct real roots, if ,

(ii) two equal roots (i.e., coincident roots), if , and

(iii) no real roots, if .