Question 295508: How do you set up an equation to solve problems that have two consecutive odd/even positive integers adding up to a certain sum. For example, the sum of the square of two consecutive odd positive integers is 130, find the values of the two integers. I know that they're 7 and 9, but only through guess and check. How would I set up an equation to solve problems like that?
Found 2 solutions by Alan3354, edjones:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! The numbers are n and n+2, or x and x+2
like that
You can solve the quadratic, and get 7&9, or -9 & -7
-----------
But, if you're taking a timed test, do it like this:
130/2 = 65
square root of 65 =~ 8, between the 2 numbers.
--> 7 & 9
don't waste time
Answer by edjones(8007)  (Show Source):
|
|
|
