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

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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(10552) About Me  (Show Source):
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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, 5N+%2B+2N%5E2+=+133
2N%5E2+%2B+5N+-+133+=+0
(N - 7)(2N + 19) = 0 ------- Factoring 2N%5E2+%2B+5N+-+133
N - 7 = 0 OR 2N + 19 = 0
N, or integer = highlight_green%287%29 OR 2N = - 19 (ignore as this will NOT result in an integer value.
You can do the check!!
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