Question

Find positive real numbers x and y that satisfies the equation:
(x^3+y^3)(x^2+y^2)=2(x+y)=2

Answer 1

Answer:

XX and YY are two positive real numbers such that 2X+Y≤62X+Y≤6 and X+2Y≤8.X+2Y≤8.For which of the following values of

(X,Y)(X,Y) the function f(X,Y)=3X+6Yf(X,Y)=3X+6Y will give maximum value ?

(43,103)(43,103)

(83,203)(83,203)

(83,103)(83,103)

(43,203)