Simultaneous Settlement VI (Posted on 2022-12-17)

             x+y=29, and:
             x*y=198

	Submitted by K Sengupta
Rating: 5.0000 (1 votes)
Solution:	(Hide)
x+y=29 .....(i) x*y=198.....(ii) Dividing (i) by (ii), we have: 1/x+1/y = 29/198 ......(iii) Multiplying (i) by (iii), we have: 2+x/y +y /x = 841/198 Substituting p=x/y, we have: p+1/p = 645/198 => 198*p^2 - 445p+ 198 =0 => (18p-11)(11p-18) =0 => p = 11/18, or 18/11 --------------------------------------------------------------------For an alternative methodology, refer to: • The solution submitted by Brian Smith in this location. • The solution submitted by Larry in this location.

	Subject	Author	Date
	No Subject	K Sengupta	2022-12-19 01:58:15
	Katety	lady	2022-12-19 00:43:42
	Solution	Brian Smith	2022-12-17 10:08:55
	Solution	Larry	2022-12-17 09:09:38