SOLUTION: Thanks in advance for your help... Here's my problem- The product of two consecutive positive odd integers is 38 less than the square of the greater integer. Find the intege

Question 274372: Thanks in advance for your help...
Here's my problem-
The product of two consecutive positive odd integers is 38 less than the square of the greater integer. Find the integers.
Now I know that product means mulitiplication so I thought I set the problem up as such:
x(x+2)= (x+2)^2-38.
Would this be correct?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You have the right equation. Now let's solve for 'x'.

Start with the given equation.

Distribute

FOIL

Subtract from both sides.

Combine like terms on the right side.

Subtract from both sides.

Combine like terms on the left side.

Divide both sides by to isolate .

Reduce.

----------------------------------------------------------------------

Answer:

So the solution is

So the two numbers are 17 and 19.
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