Math CentralQuandaries & Queries


Question from austin, a student:

i am a positive integer if im squared -5 is added to me. -10 is subtracted from me, and the remainder is divided by 2 the result is 7. what integer am i

Hi Austin.

Try turning it into a mathematical statement:

I am a positive integer n
I'm squared n2
-5 is added to me n2 +(-5)
-10 is subtracted from me n2 +(-5)-(-10)
the remainder is divided by 2 [ n2 +(-5)-(-10) ] / 2
the result is 7. [ n2 +(-5)-(-10) ] / 2 = 7.

Solve for n.

Stephen La Rocque. >


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