SOLUTION: Hello, My question is "the product of two consecutive positive integers is 29 more than their sum, find the integers". I don't understand what the computer went over, there we

Question 768234: Hello,
My question is "the product of two consecutive positive integers is 29 more than their sum, find the integers".
I don't understand what the computer went over, there were additional steps that confused me, like a whole 2 steps about changing "1n" to "n" when n=1n.
n(n+1)=2n+1 then 2n+1+29=2n+30 then subtract 2n and 30 so that the equation is 2(n+1)-2n-30=0 then this is where I got confused. The next step was n*n+n-2n-30 so n^2-1n-30=0 then the answers are 6,-5. Where do the 6 and -5 come from and is that right, they're not both positive, but changing to 5,6 makes sense but I don't know how to check my answer.
Please help and thank you
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
"the product of two consecutive positive integers is 29 more than their sum, find the integers".
----------
x*(x+1) = x + (x+1) + 29

(x-6)*(x+5) = 0
x = -5 (Ignore, it says positive)
x = 6
------
--> 6 & 7

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