SOLUTION: 3) The sum of twice an integer and three times its square is 261. Find the integer. The answer is 9 & 4 (I think) BUT. what is the work to get it? please help.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: 3) The sum of twice an integer and three times its square is 261. Find the integer. The answer is 9 & 4 (I think) BUT. what is the work to get it? please help.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 702917:

3) The sum of twice an integer and three times its square is 261. Find the integer.


The answer is 9 & 4 (I think) BUT. what is the work to get it? please help.
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
2X+3X^2=261
3X^2+2X-261=0
(3X+29)(X-9)=0
X-9=0
X=9 ANS.
PROOF:
2*9+3*9^2=261
18+3*81=216
18+243=261
261=261