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

n^{2 }

-5 is added to me

n^{2 }+(-5)

-10 is subtracted from me

n^{2 }+(-5)-(-10)

the remainder is divided by 2

[ n^{2 }+(-5)-(-10) ] / 2

the result is 7.

[ n^{2 }+(-5)-(-10) ] / 2 = 7.

Solve for n.

Stephen La Rocque. >

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.