Objects A and B move along a straight line. Their positions, s, with respect to an origin, at t seconds, are modeled by the following functions:
Object A: s(t)=(7t/t^2+1) Object B: s(t)=(5/t+2)
Determine when object A is closer to the origin than object B.

Question

Objects A and B move along a straight line. Their positions, s, with respect to an origin, at t seconds, are modeled by the following functions:
Object A: s(t)=(7t/t^2+1)  Object B: s(t)=(5/t+2)
Determine when object A is closer to the origin than object B.

anonymous · Answer

What I did so far: |dw:1369525359394:dw| and then since the denominator cannot be negative (since t has to be positive) I looked at the numerator and expanded and wasn't sure how to continue.. I got messy numbers when I tried to get the roots of the resulting equations.