SOLUTION: Hello! So I'm having a hard time on this problem. I know it involves some stuff from Algebra I, but my mind's not in the right place today. So here goes: Find 3 numbers that have a

Question 1039297: Hello! So I'm having a hard time on this problem. I know it involves some stuff from Algebra I, but my mind's not in the right place today. So here goes: Find 3 numbers that have a sum of 30 and a product of 910, and form an arithmetic sequence. Thanks!
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
A possible way to get lost from mistakes is to perform substitution too early.
Substituting for d may be easier than for x.

Three numbers in arithmetic sequence:
and their sum:

from which you could later use .

The product of 910:

NOW SUBSTITUTE FOR d.

and skipping the simplification steps,

-
What can be the common difference, d? Do they both work? Maybe.
If x=13, then d=-3;
If x=7, then d=3.

Note from description, the sum must be positive and the product must be positive.
-------------------------
13, 10, 7
OR
7, 10, 13
Are the numbers.
-------------------------

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