Class 10 Maths for Quadratic Equations of Chapter 4 Revision Notes

CBSE Class 10 Maths Revision Notes Chapter 4 Quadratic Equations

1.Quadratic Equations
2. Solution by Factorisation
3. Solution by Completing the Square
4. Nature of Roots
1. The equation  ,   is the standard form of a quadratic equation, where a, b and c are real numbers.
 is known as Standard form or General form of a quadratic equation.
In other words, we can say that an equation of order (degree) 2 is called a quadratic equation.
2. A real number   is said to be a root of the quadratic equation  , . If  the zeroes of quadratic polynomial  and the roots of the the quadratic equation  are the same.
3. If we can factorise  into product of two linear factors,then the roots of the quadratic equation can be found by equating each factors to zero.
4. The roots of a quadratic equation ,  are given by provided that . It is called Quadratic formula.
5. A quadratic equation ,  has :
(a) Two distinct and real roots, if 
(b) Two equal and real roots, if 
(c) Two roots are not real, if 
6. A quadratic equation can also be solved by the method of completing the square.
(i) 
(ii) 
7. Discriminant of the quadratic equation ,  is given by .