Find all values of a that satisfy the



Answered question


Find all values of a that satisfy the inequality for all (x,y).

Answer & Explanation

Brennan Thompson

Brennan Thompson

Beginner2022-04-03Added 10 answers

I need to determine all possible values for a[0,2] such that the following holds for all (x,y)R2:
or equivalent 2x240y221axy+12xy+a6y20
I've plotted the function and observed that it holds for all a[0,α] for some α between 1.3 and 1.4 and it doesn't hold for greater values. But I don't know how to prove it nor find such α.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?