Question

Prove that if then . Will this be true if we use some other numbers instead of 2, 5, 4 and 6?

Answer 1

We have

, i.e., the fractions are the different forms of the same number.

Let

⇒ x = = uz and y = = vz

Substituting in , we get:

⇒

Let us suppose we have numbers a, b, c and d instead of 2, 5, 4 and 6 in the given equation.

Therefore, we need to show

L.H.S. =

= R.H.S.

Hence, we can use any number instead of the numbers 2, 5, 4 and 6 for the given equation to hold true.