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KEY POINTS FOR QUADRATIC EQUATION OF CLASS 10

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- 1. KAILASH RAI SARASWATI VIDYA MANDIR BY:- SANJU BABA
- 2. KEY POINTS FOR A QUADRATIC EQUATION1. 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 quadratic equation are the same. 3. Discriminant:- The expression is called discriminant of the equation and is usually denoted by D. Thus discriminant 4. Every quadratic equation has two roots which may be real , co incident or imaginary 02 =++ cbxax 02 =++ cbxax ( ) ( ) 0 2 =++ cba αα α cbxax ++2 02 =++ cbxax acb 42 − 02 =++ cbxax acbD 42 −= 0≠a
- 3. 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. α β 02 =++ cbxax a acbb 2 42 −+− =α a acbb 2 42 −−− =β a b− =+ βα a c =αβ ( ) 02 =++− αββα xx 02 =++ cbxax
- 4. KEEP LEARNING……………………

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