Question

if one root of 5 x square + 13 x + K is equals to zero is a reciprocal of the root then find the value of k

Answer 1

We know that in a quadratic equation ax^2 + bx + c = 0

Product of roots = c/a

Here we have the equation 5x^2 + 13x + k = 0
Product of roots = k/5

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

=> 1 = k/5
=> k = 5.

Hence, the value of k is 5.

 

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Answer 2

answer is 5 because k/5=a.1/a