SOLUTION: five times an integer plus three times the square of the integer is 22. find the integer.

Question 465939: five times an integer plus three times the square of the integer is 22. find the integer.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Given the fact that the number is an integer, we can guess and check by inputting small integer values. Here we will get 2 as our answer. To show that it is the only answer, we can write a quadratic:

where C is the other root.

Here, we expect the constant term, 3(-2)(-C) to equal -22 --> 6C = -22. This implies C = -11/3, not an integer, so 2 is the only integer root.
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