KAILASH RAI SARASWATI VIDYA MANDIRBY:- SANJU BABA

KEY POINTS FOR A QUADRATIC EQUATION 1. The general form of a quadratic equation is

a, b and c are real numbers and 2. A real number is said to be a root of the quadratic equation where a≠o if

The zeroes of the quadratic polynomial and the roots of the corresponding quadraticequation are the same.3. Discriminant:- The expression is called discriminant of the equation and is usually denotedby D. Thus discriminant 4. Every quadratic equation has two roots which may be real , co incident or imaginary

02 cbxax

02 cbxax 02 cba

cbxax 2

02 cbxaxacb 42 02 cbxax

acbD 42

0a

5. IF and are the roots of the equation then and

6. Sum of the roots , and product of the roots,7. Forming quadratic equation, when the roots and are given:-

8. Nature of roots of i. If D>0, then roots are real and unequal.ii. D=0, then the equation has equal and real roots.iii. D<0, then the equation has no real roots.

02 cbxax

a

acbb

2

42 a

acbb

2

42

a

b

a

c

02 xx

02 cbxax

KEEP LEARNING…………………

…BYE