Question

If zeros of the polynomial 5x2-7x+k are the reciprocal of each other, then find the value of k​

Answer 1

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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