SOLUTION: how to find two consecutive odd integers such that the square of the greater decreased by the lesser is 212

Question 174042: how to find two consecutive odd integers such that the square of the greater decreased by the lesser is 212
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
lets call our two consecutive odd integers a and a+2
:

a= 13,-16....since -16 is not odd we throw it out
:
integers

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=841 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 13, -16. Here's your graph:

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