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

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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.

Answer by Mathtut(3670)   (Show Source): 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:
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