## CBSE Maths Formula Class 10 Quadratic Equations Chapter 4

**Class-10 Quadratic Equations** **Students can easily learn and step by step solve the questions. For More questions related to class 10 maths One type was the quadratic polynomial of the form ax ^{2} + bx + c, a ≠ 0. When we equate this polynomial to zero, we get a quadratic equation. Quadratic equations come up when we deal with many real-life situations.**

Students can also do all questions for **NCERT Maths Books**.

## How to Solve Quadratic equation:

**Class-10 Quadratic Equations**

## Nature of roots of Quadratic equation:

**Class-10 Quadratic Equations**

**Summary**

**Class-10 Quadratic Equations**

**1. A quadratic equation in the variable x is of the form ax ^{2}+ bx + c = 0, where a, b, c are real numbers and a ≠ 0.2. A real number α is said to be a root of the quadratic equation ax^{2} + bx + c = 0, if aα^{2} + bα + c = 0. The zeroes of the quadratic polynomial ax^{2} + bx + c and the roots of the quadratic equation ax^{2} + bx + c = 0 are the same.3. If we can factorise ax^{2} + bx + c, a ≠ 0, into a product of two linear factors, then the roots of the quadratic equation ax^{2} + bx + c = 0 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 ax^{2} + bx + c = 0 are given by**

**provided b ^{2} – 4ac ≥ 0.6. A quadratic equation ax^{2} + bx + c = 0 has(i) two distinct real roots, if b^{2} – 4ac > 0,(ii) two equal roots (i.e., coincident roots), if b^{2} – 4ac = 0, and(iii) no real roots, if b^{2} – 4ac < 0**.