Question

If roots of kx²-7x+16=0 are reciprocal of each other than value of k is

Answer 1

Answer:

k= 16

Step-by-step explanation:

here we have given a condition that the roots are reciprocals of each other, let's consider α is one Root and the second one is β (1/α)

Now, compare the equation with standard form of quadratic equation

kx²-7x+16=0 , a=k , b=-7 , c=16

we know that ,

α . β = c/a

α . (1/α)= 1 = 16/k , k = 16

The value of k is 16