The difference between a positive fraction and its reciprocal is 920920. Find the sum of that fraction and its reciprocal.Options :41/2017/20none9/20

Let's denote the fraction as x. Its reciprocal would then be 1/x.

According to the problem, we have the equation:

x - 1/x = 920920

To solve this equation, we can multiply every term by x to get rid of the fraction:

x^2 - 1 = 920920x

Rearranging the terms, we get a quadratic equation:

x^2 - 920920x - 1 = 0

We can solve this quadratic equation using the quadratic formula:

x = [920920 ± sqrt((920920)^2 - 41(-1))]/(2*1) x = [920920 ± sqrt(847683264400 + 4)]/2 x = [920920 ± sqrt(847683264404)]/2

The square root of 847683264404 is approximately 920920.00000108.

So, the solutions are:

x1 = (920920 + 920920.00000108)/2 ≈ 920920 x2 = (920920 - 920920.00000108)/2 ≈ 0

The sum of the fraction and its reciprocal is x + 1/x.

For x1, this sum is 920920 + 1/920920 ≈ 920920.00000108. For x2, this sum is 0 + 1/0, which is undefined.

So, the correct answer is none of the given options.