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Question

If the zeroes of the polynomial x2 - 5x + k are the reciprocal of each other, then find the value of k

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Solution

If in the Quad equation ax2 + bx + c = 0
If the roots are p and q, then we have
pq = c/a
pq = k
Since Given Roots are reciprocals....
Therefore, p = 1/q, pq = 1
So, k=1

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