# Thread: calculate : x^4 +y^4 +z^4

1. ## calculate : x^4 +y^4 +z^4

hello :
given :
x+y+z = 6
x²+y²+z² = 8
x^3 +y^3 +z^3 = 5
calculate : x^4 +y^4 +z^4

2. ## Re: calculate : x^4 +y^4 +z^4

Hey dhiab.

Can you show your working please? Any attempts you have?

3. ## Re: calculate : x^4 +y^4 +z^4

Answer: $x^4+y^4+z^4 = 0$. Note: there are no solutions over the reals.