Answers

2015-10-04T13:51:42+05:30
The equation can be written as x²-3x-5=0
the root of this equation are  \alpha  and       \beta
sum of roots= \alpha + \beta = \frac{-b}{a}
                    =3
product of roots= \alpha  \beta = \frac{c}{a}
                         =-5
 \frac{1}{  \alpha ^{2} } + \frac{1}{  \beta ^{2} } = \frac{  \alpha ^{2} +  \beta ^{2} }{ ( \alpha  \beta )^{2} }
    \alpha ^{2} + \beta  ^{2} =( \alpha + \beta  )^{2} -2 \alpha  \beta
  =19/25
 
  

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