SOLUTION: The sum of 5 times an integer and 2 times it's square is 133. What is the integer? You have to develop an equation and then after that use the quadratic formula to solve for the u

Question 870733: The sum of 5 times an integer and 2 times it's square is 133. What is the integer?
You have to develop an equation and then after that use the quadratic formula to solve for the unknowns.
I ended up with 2xsquared +5-133=0. When I put this in the quadratic formula I ended up with 7.275.
I beleive that I'm wiring so would you kindly do it for me from beginning to end so I can see where I made my mistake. Thank you.
Answer by MathTherapy(10553) (Show Source): You can put this solution on YOUR website!

The sum of 5 times an integer and 2 times it's square is 133. What is the integer?
You have to develop an equation and then after that use the quadratic formula to solve for the unknowns.
I ended up with 2xsquared +5-133=0. When I put this in the quadratic formula I ended up with 7.275.
I beleive that I'm wiring so would you kindly do it for me from beginning to end so I can see where I made my mistake. Thank you.



Let integer be N

Then, 



(N - 7)(2N + 19) = 0 ------- Factoring 

N - 7 = 0                OR          2N + 19 = 0

N, or integer =       OR          2N = - 19 (ignore as this will NOT result in an integer value.

You can do the check!! 



Send comments, �thank-yous,� and inquiries to �D� at MathMadEzy@aol.com.

Further help is available, online or in-person, for a fee, obviously.  

RELATED QUESTIONS

The sum of an integer and three times the next consecutive integer is 47. What is the... (answered by checkley77,halbren)
The sum of an even integer, 2 times the next even integer, and three times the following... (answered by midwood_trail)
The sum of an odd integer and 3 times the next greater integer is 2 less than 4 times the  (answered by richwmiller)
If 5 is added to the square of an integer, the result is 4 less than 10 times that... (answered by ankor@dixie-net.com,josgarithmetic)
when the square of an integer is added to ten times the integer, the sum is zero. What is  (answered by CubeyThePenguin)
the sum of an integer squared and four times the integer is 45 find the... (answered by tommyt3rd)
the sum of 6 times an integer and its square is 135. find BOTH... (answered by Alan3354)
Heres my problem..
The sum of 3 times an integer and the square of the integer is 180.... (answered by rfer)
The sum of an odd integer and 3 times the next greater odd integer is 2 less than 4 times  (answered by CubeyThePenguin)