<PRE><B>Question 194465</B>
7/(x^2-5x) +3/(5-x) = 4 / x
,
factoring  (x^2-5x) = x (x-5),,,,, therefore  multiply  thru  by  lcd or  x(x-5)
,
7 -3x = 4(x-5) = 4x-20
27 = 7x
x=27/7 = 3.857,,,,,,ANSWER
,
checking
,
7/( (3.857^2)-5(3.857) ) + 3 / ( 5-3.857) = 4/ 3.857
,
 - 1.588 + 2.625 = 1.037
,
1.037 = 1.037,,,,ok</PRE>