Find x and y so that xy12 and x2y2794 first use the given in

Find x and y so that x-y+12 and x^2+y^2=794. first, use the given information to compute (x-y)^2 and so for 2xy then use the babylolian number line method for knowing xy and x-y

Solution

SOLUTION

(x - y) = 12 ………………………………………………………. (1)

(x - y)² = 12² = 144 …………………………………………….. (2)

(x - y)² = x² + y² – 2xy = 794 – 2xy …………………………… (3)

(2) and (3) => 794 – 2xy = 144 or 2xy = 650 or xy = 325 ….. (4)

From (1), y = x – 12 ……………………………………………. (5)

(5) in (4): x(x - 12) = 325 …………………………………….... (6)

(6) => product of two numbers which differ by 12 is 325. The only possibility is larger is 25 and the smaller is13. So, x = 25 and y = 13 ANSWER