Hello, pankaj!

If that's the original wording of the problem, it's criminally sloppy!

I tried two different interpretations ... and oneseemsto work out.

Here's one interpretation . . .

If isanysolution of

and isanysolution of

then find the value of

A solution of [1] is: .

A solution of [2] is: .

Then: .

. . . .

Therefore: .

But, of course, this result isnota constant.

It varies, depending on the solutions we select:

Here's another interpretation . . . and I gotyouranswer!

We have: .and are solutions of the system: .

Find the value of

Let: .

And we get: .

Substitute into [1]: .

The Quadratic Formula gives us: .

Substitute into [1]: .

Then we have: .

Then: .

. . . . . .

Therefore: .