SOLUTION: One positive integer is 2 less than twice another. The sum of their squares is 1009. Find the integers

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Question 1031569: One positive integer is 2 less than twice another. The sum of their squares is 1009. Find the integers
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
One positive integer is 2 less than twice another. The sum of their squares is 1009. Find the integers
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Use x and 2x-2
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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=20164 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 15, -13.4. Here's your graph:

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x = 15
--> 15 & 28
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