SOLUTION: the product of two consecuitive integers is 156. use the equation n(n=1)=156 to find the integers.
-> SOLUTION: the product of two consecuitive integers is 156. use the equation n(n=1)=156 to find the integers.
: algebra software solves algebra homework problems with step-by-step help!
solves your algebra problems and provides step-by-step explanations!
Word Problems: Problems with consecutive odd even integers
Click here to see ALL problems on Problems-with-consecutive-odd-even-integers
the product of two consecuitive integers is 156. use the equation n(n=1)=156 to find the integers.
put this solution on YOUR website!
Start with the given equation
Subtract 156 from both sides
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
Plug in a=1, b=1, and c=-156
Square 1 to get 1
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
Multiply 2 and 1 to get 2
So now the expression breaks down into two parts
Lets look at the first part:
Add the terms in the numerator
So one answer is
Now lets look at the second part:
Subtract the terms in the numerator
So another answer is
So our solutions are:
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)