Question

Ifone root of the polynomial P(x) = 5x + 13x + K is reciprocal of the other, then
value of k is
​

Answer 1

Answer:

The Given polynomial is f(x) =5x²+13x+k.

The quadratic equation ax² + bx + c = 0

Product of roots = c/a

Here we have the equation 5x²+ 13x + k = 0

Product of roots = k/5

Given that the roots are reciprocals of each other. So if one root is y, the other would be 1/y. So, their product will always be 1.

1 = k/5

k = 5.

Hence, the value of k is 5.

Step-by-step explanation:

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