Find the sum of the reciprocals of two real numbers, given that these two numbers have a sum of 50 and a product of 25.
Source: mathcontest.olemiss.edu 5/7/2007
The above figure shows the graph of the line and the graph of the hyperbola . The two intersection points of the two graphs are two symmetrical points and . The sum of the reciprocals is
An alternative way to find the sum of the reciprocals without knowing the values of is: