SOLUTION: Given two consecutive positive ODD integers, the square of the smaller minus five times the larger is 26. Find the integers.

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Question 1157275: Given two consecutive positive ODD integers, the square of the smaller minus five times the larger is 26. Find the integers.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the integers are x, x+2
x^2-5(x+2)=26
x^2-5x-10=26
x^2-5x-36=0
(x-9)(x+4)=0
the integers are 9 and 11
81-55=26
(The other two are negative, -4 and -2, and are excluded)