If x+y=4 and xy=2, find x^4 + y^4.

In this video, we talk about a simple algebraic manipulation technique to find x^4+y^4 if x+y=4 and xy=2. The idea is not to solve the system for x and y, but instead use algebraic manipulations to find x^4+y^4. We use this idea and technique when the sum and product of x and y are given and we want to use them to find the value of other expressions. Such technique can often be used in certain competition math problems.

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[fatih]

I found the answer but I took the long way and found the values of x and y. This solution is way more clever and shorter :)

[newjescity]

how does this work if the product is not given