Question 903411
1/x+1/(x+2)=1/6.333
(6.333*x*(x+2))/x+(6.333*x*(x+2))/(x+2)=(6.333*x*(x+2))/6.333
(6.333*(x+2))+6.333*x=x*(x+2)
6.333*x+12.666+6.333*x=x^2+2*x
12.666*x+12.666=x^2+2*x
x^2+-10.666*x-12.666=0
*[invoke complete_square "x", 1, -10.666, -12.666]
11.7444654331128 days
13.7444654331128 days
check
a=11.7444654 days
b=13.7444654 days
1/a+1/b=1/x
1/11.7444654+1/13.7444654=1/x
1/11.7444654+1/13.7444654=1/6.333
1/x=1/6.333
x=6.333 days working together