Question

Please help

Answer 1

Part A)
we have that
1/(x-1)+2/x=x/(x-1) 
we know that
for x=1 and x=0 the equation is undefined because the denominator can not be zero

Part B)
1/(x-1)+2/x=x/(x-1) ---------> [x+2*(x-1)]/[x*(x-1)]=x/(x-1) 
 the term (x-1) in the denominator is simplified
[x+2*(x-1)]/x=x
x+2x-2=x²--------------> x²-3x+2=0

using a graph tool---------> I solve the quadratic equation
see the attache figure
the solution are
x1=1
x2=2

Part C)
we Know that
Max-----------------> takes 10 hours to clean the house
we calculate how much clean in an hour
if takes 10 hour------------> 100%
   1 hour----------------------X
X=100/10--------> X=10%

Maggie-------------> takes 6 hours to clean the house
we calculate how much clean in an hour
if takes 6 hour------------> 100%
   1 hour----------------------X
X=100/6--------> X=16.67%


we add both percentages
(10+16.67)=26.67 %
if both takes 1 hour----------> 26.67 %
 X----------------------------------> 100%
X=100/26.67----------> X=3.75 hours---------> 3 hours+45 minutes

the answer part C) is 3.75 hours  (3 hours+45 minutes)