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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
abcde=1 (where a,b,c,d and e are all positive real numbers)
what is the minimum value of a+b+c+d+e?
How many integer solutions are there to the system of equations below and which are those solutions?
x^2+y-z = 42
x+y^2-z = 18
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