# SOLUTION: The sume of the reciprocals of two consecutive odd integers is 20/99. Find the integers. A plane and a truck leave the same town at sunrise and head for a town 450 miles away

Algebra ->  -> SOLUTION: The sume of the reciprocals of two consecutive odd integers is 20/99. Find the integers. A plane and a truck leave the same town at sunrise and head for a town 450 miles away      Log On

 Ad: Mathway solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

Question 178957: The sume of the reciprocals of two consecutive odd integers is 20/99. Find the integers.

A plane and a truck leave the same town at sunrise and head for a town 450 miles away. The spead of the plane is 3 times the speed of the truck, and the plane arrives 6 hours ahead of the truck. Find the speed of the plane.

You can put this solution on YOUR website!
let the integers be a and a+2
:

:

:

:

:

:
-1.1 is thrown out
:
integers are:
:
 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=40804 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 9, -1.1. Here's your graph: