If zeros of the polynomial 5x2-7x+k are the reciprocal of each other, then find the value of k
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Answer:
k=5
Step-by-step explanation:
Zeros of the polynomial are the roots of this quadratic equation 5x2 −7x+k=0
Given that the roots re reciprocal of each other. Hence product of roots will be 1
From the given equation we can see that product of the roots = k/5
⇒ k/5=1
thus k=5
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