When the square of three times a positive integer is decreased by the integer, the result is $2010$. what is the integer?

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04-06-2018
Mathematics

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When the square of three times a positive integer is decreased by the integer, the result is $2010$. what is the integer?

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chickenheadbum3 chickenheadbum3 · Answer 1 · 2018-06-04T07:34:55+02:00

chickenheadbum3 chickenheadbum3

04-06-2018

x = a positive integer
3x = 3 times the number
9x^2 = the square of 3 times the number
.
9x^2-x = 2010
.
9x^2 -x -2010 = 0
So x = 15 is the only integer solution.
.
Checking this value, we find:
9*225 -15 = 2010
correct.
.
Answer: x = 15 ;)

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