Find all positive real solutions of the simultaneous equations:
x + y^2 + z^3 = 3 y + z^2 + x^3 = 3 z + x^2 + y^3 = 3
X=1,Y=1,Z=1 Will be the only solution(positive real solutions )
Given positive real numbers x, y, and z that satisfy the following system of equations: x² + xy + y² = 9, y² + yz + z² = 4, z² + zx + x² = 1,
Find x + y + z
If abcde=1 (where a,b,c,d and e are all positive real numbers) then what is the minimum value of a+b+c+d+e?
