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Question
If one root of the quadratic equation `3x^2-10x+k=0` is reciprocal of the other , find the value of k.
Solution
Let α and β be the roots of the equation `3x^2-10x+k=0`
∴` α=1/β` (Given)
⇒ `αβ=1`
⇒`k/3=1` (Product of the roots =`c/a)`
⇒` k=3`
Hence, the value of k is 3.
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