If one zero of (k+1)x 2 -5x+3k-1 is reciprocal of the other, find the value of k.
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p(x) = (k+1)x²-5x+3k-1
let the roots be α and 1/α
sum of roots , α+1/α = 5/(k+1)
product of roots, α×1/α = (3k-1)/(k+1)
⇒1= (3k-1)/(k+1)
⇒k+1 =3k-1
⇒2k =2
⇒k =1
let the roots be α and 1/α
sum of roots , α+1/α = 5/(k+1)
product of roots, α×1/α = (3k-1)/(k+1)
⇒1= (3k-1)/(k+1)
⇒k+1 =3k-1
⇒2k =2
⇒k =1
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