friends please answer this question
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laharipragna:
can anyone please answer this question
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α and β are the roots of ax² +bx +c =0
then,
α/(aβ +b) + β/( aα + b) =?
sum of roots = -b/a
α +β = -b/a
aα + aβ = -b
aα + b = -aβ ------(1)
similarly
aβ + b = -aα ------(2)
now put this in above,
α/-aα + β/-aβ. = 1/-a + 1/-a = -2/a
then,
α/(aβ +b) + β/( aα + b) =?
sum of roots = -b/a
α +β = -b/a
aα + aβ = -b
aα + b = -aβ ------(1)
similarly
aβ + b = -aα ------(2)
now put this in above,
α/-aα + β/-aβ. = 1/-a + 1/-a = -2/a
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