Thread: Any short method of solving these two equation

Plz solve this equation in a shortest way
X+root Y=7
root X+Y+11

Originally Posted by sandeeptiwari674

Plz solve this equation in a shortest way
X+root Y=7
root X+Y+11

First, this doesn't really belong in "Linear and Abstract Algebra".

I would solve for x: .

Then replace x by that in the second equation:

(You have "+11" but without an "=" there is no equation so I assume you mean "=".)

Now isolate the square root, , and square both sides: .

Again, isolate the square root, and square both sides.

or
.

That is a fourth degree polynomial equaton which might be difficult to solve. The only possible rational roots are the factors of 196 so I would recommend trying those first.

Originally Posted by sandeeptiwari674

Plz solve this equation in a shortest way

I couldn't help noticing that


Try following HallsofIvy's method, checking at each step whether those numbers fit the equations. That should lead to a solution.