Algebra-1.txt

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  1. if in equation Image Upload
    A=C, then?
    two roots α and β are reciprocal to each other
  2. if in equation Image Upload
    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 Image Upload
    A=1,   and B,C are integers
    and
    roots are rational numbers
    these roots must be integers
  13. if in equation
     Image Upload  and
     Image Upload
    one root is common, then
    Image Upload
  14. condition that Image Upload, is factorizable into two linear factors
    when DImage Upload0
  15. formation of a quadratic equation??
    Image Upload
  16. nature of roots ??
    If D<0 then ???
    and DImage Upload0 then , 
    • D<0   Imaginary
    • DImage Upload0   Real

Card Set Information

Author:
sjs.vikrant
ID:
283326
Filename:
Algebra-1.txt
Updated:
2014-09-17 06:15:51
Tags:
algebra
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Description:
algebra
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