SOLUTION: If the square of the larger of two consecutive integers is reduced by three times the smaller, the result is the sum of the integers. Find the integers

Question 651527: If the square of the larger of two consecutive integers is reduced by three times the smaller, the result is the sum of the integers. Find the integers
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If the square of the larger of two consecutive integers is reduced by three
times the smaller, the result is the sum of the integers.
Find the integers
:
Let x = the larger integer
then
(x-1) = the smaller
:
x^2 - 3(x-1) = x + (x-1)
x^2 - 3x + 3 = 2x - 1
x^2 - 3x - 2x + 3 + 1 = 0
x^2 - 5x + 4 = 0
Factors to
(x-1)(x-4) = 0
two solutions
x = 1, then 0 = the smaller integer
and
x = 4, then 3 = the smaller integer
:
Both solutions seems to work, if you consider 0 an integer
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