Question

Sum of squares of two numbers is 104 and the product is 20. find sum of two numbers

Answer 1

X+y=20 and XY= 15.

( X+ y)^3= 20^3

X^3+ y^3+3xy( x+y)= 8000

X^3+ y^3+3*15*20= 8000

X^3+ y^3+900= 8000

X^ 3+ y^ 3= 8000–900=7100.

X^3 + y^ 3= 7100.