Question

If x square + y square by x square minus y square is equal to 17 by 8 find (x^3+y^3)/(x^3-y^3)

please solve this...​

Answer 1

Answer:

(i) x2 + y2/x2 – y2 = 17/8

Applying componendo and dividendo rule,

x2 + y2 + x2 – y2/x2 + y2 – x2 + y2 = 17 + 8/17 – 8

2x2/2y2 = 25/9

x2/y2 = 25/9

x/y = 5/3

x : y = 5 : 3

(ii) Taking cube on both sides,

x3/y3 = 125/27

Applying componendo and dividendo rule,

x3 + y3/x3 – y3 = 125 + 27/125 – 27

x3 + y3/x3 – y3 = 152/98