SOLUTION: the product of two consecutive integers is 16 less than the square of the next larger integer. what are the three integers? PLEASE SHOW ME HOW DID YOU GET THAT ANSWER STEP BY STEP

Question 565387: the product of two consecutive integers is 16 less than the square of the next larger integer. what are the three integers? PLEASE SHOW ME HOW DID YOU GET THAT ANSWER STEP BY STEP THANKS
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Call the 3 integers , , and
given:

Subtract from both sides

Divide both sides by

The numbers are 4, 5, and 6
check:

OK
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