Two trees 20 metres and 30 metres long, lean across a passageway between two vertical walls. They cross at a point 8 metres above the ground. What is the distance between the foot of the trees?
The equation a^x + b^x = 1 can be solved algebraically in special
cases but in general it can only be solved by numerical methods.
In this short problem, try to find the location of the roots of
some unusual functions by finding where they change sign.