SOLUTION: Question Help Find two consecutive odd integers such that their product is 107 more than 6 times their sum.

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Question 1025873: Question Help
Find two consecutive odd integers such that their product is 107 more than 6 times their sum.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Let be an odd integer. Then the next consecutive odd integer is . The product of these two integers is , and their sum is . Six times their sum is . We are given that:



In standard form:



Solve the quadratic for BOTH values of . Check both of the solutions; it is possible that both of them satisfy the constraints of the problem.

John

My calculator said it, I believe it, that settles it

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