# SOLUTION: the product of two consecuitive integers is 156. use the equation n(n=1)=156 to find the integers.

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Question 159408: the product of two consecuitive integers is 156. use the equation n(n=1)=156 to find the integers.

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Subtract 156 from both sides

 Solved by pluggable solver: Quadratic Formula Let's use the quadratic formula to solve for n: Starting with the general quadratic the general solution using the quadratic equation is: So lets solve ( notice , , and ) Plug in a=1, b=1, and c=-156 Square 1 to get 1 Multiply to get Combine like terms in the radicand (everything under the square root) Simplify the square root (note: If you need help with simplifying the square root, check out this solver) Multiply 2 and 1 to get 2 So now the expression breaks down into two parts or Lets look at the first part: Add the terms in the numerator Divide So one answer is Now lets look at the second part: Subtract the terms in the numerator Divide So another answer is So our solutions are: or

So the first number is 12 and the second number is 13 (if you only want positive integers)

Or, the first number is -13 and the second number is -12 (if you don't mind negative numbers)