document.write( "Question 712158: when a positive number is added to its square,the sum is 240.find the number
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #437767 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the positive number = $\"+n+\"$
\n" ); document.write( "It's square is $\"+n%5E2+\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+n+%2B+n%5E2+=+240+\"$
\n" ); document.write( "Subtract $\"+240+\"$ from both sides
\n" ); document.write( " $\"+n%5E2+%2B+n+-+240+=+0+\"$
\n" ); document.write( "Note that $\"+15%2A16+=+240+\"$ , so
\n" ); document.write( " $\"+%28+n+%2B+16+%29%2A%28+n+-+15+%29+=+0+\"$
\n" ); document.write( "The solutions are:
\n" ); document.write( " $\"+n+=+-16+\"$ and
\n" ); document.write( " $\"+n+=+15+\"$
\n" ); document.write( "The number has to be positive, so
\n" ); document.write( " $\"+n+=+15+\"$
\n" ); document.write( "check:
\n" ); document.write( " $\"+n+%2B+n%5E2+=+240+\"$
\n" ); document.write( " $\"+15+%2B+15%5E2+=+240+\"$
\n" ); document.write( " $\"+15+%2B+225+=+240+\"$
\n" ); document.write( " $\"+240+=+240+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );