Let * be a binary operation, on the set of all non-zero real numbers, given by for all a, b ∈ R – {0}. Write the value of x given by 2 * (x * 5) = 10.

Question

Philoid · Accepted Answer

The given binary operation is a*b =

We have to find the value of x so that 2*(x*5) = 10

Firstly, x*5 = = x

Now 2*(x*5) = 2*x =

As per the question, it is equal to 10

∴ = 10

∴ x = 25