# Algebra-1.txt

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1. if in equation
A=C, then?
two roots α and β are reciprocal to each other
2. if in equation
B=0, then?
two roots α and β are equal in magnitude and oposite in sign
3. in equation x2+5x+6=0
the sign of two roots α and β is ???
• sign of (α and β)=  -ve
• sign of (αβ)= +ve
• both roots α and β are negative
4. in equation x2-5x+6=0
the sign of two roots α and β is ???
• sign of (α and β)=  +ve
• sign of (αβ)= +ve
• so,both roots α and β are positive
5. in equation x2-5x-6=0
the sign of two roots α and β is ???
• sign of (α and β)=  +ve
• sign of (αβ)= -ve
• then, α is positive and β is negative if  α>β(numerically)
6. in equation x2+5x-6=0
the sign of two roots α and β is ???
• sign of (α and β)=  -ve
• sign of (αβ)= +ve
• then, α is negative and β is positive
• if,  α>β(numerically)
7. roots of an equation is given by
x=(-b±√D)÷2a
8. Nature Of Roots:
If, D<0
complex with non zero imaginary part
9. Nature Of Roots:If,
D=0
rational and equal
10. Nature Of Roots:If,
D>0 and is a perfect square
rational and unequal
11. Nature Of Roots:If,
D>0 and is NOT a perfect square
irrational and conjugate pairs
12. if in equation
A=1,   and B,C are integers
and
roots are rational numbers
these roots must be integers
13. if in equation
and

one root is common, then
14. condition that , is factorizable into two linear factors
when D0
15. formation of a quadratic equation??
16. nature of roots ??
If D<0 then ???
and D0 then ,
• D<0   Imaginary
• D0   Real
 Author: sjs.vikrant ID: 283326 Card Set: Algebra-1.txt Updated: 2014-09-17 06:15:51 Tags: algebra Folders: Description: algebra Show Answers: