document.write( "Question 630090: If the square of a number increased by the number is 42, then what is the number?\r
\n" ); document.write( "\n" ); document.write( "I have x^2+x=42, but I do not know if this is correct and if so, what to do after that \n" ); document.write( "

Algebra.Com's Answer #396722 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
That is correct
\n" ); document.write( " $\"+x+%5E2+%2B+x+=+42+\"$
\n" ); document.write( "complete the square
\n" ); document.write( "Take 1/2 of the coefficient of
\n" ); document.write( " $\"+x+\"$ , square it, and add it
\n" ); document.write( "to both sides
\n" ); document.write( " $\"+x%5E2+%2B+x+%2B+%281%2F2%29%5E2+=+42+%2B+%281%2F2%29%5E2+\"$
\n" ); document.write( " $\"+x%5E2+%2B+x+%2B+1%2F4+=+42+%2B+1%2F4+\"$
\n" ); document.write( " $\"+x%5E2+%2B+x+%2B+1%2F4+=+168%2F4+%2B+1%2F4+\"$
\n" ); document.write( " $\"+x%5E2+%2B+x+%2B+1%2F4+=+169%2F4+\"$
\n" ); document.write( " $\"+%28+x+%2B+1%2F2+%29%5E2+=+%2813%2F2%29%5E2+\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"+x+%2B+1%2F2+=+13%2F2+\"$
\n" ); document.write( " $\"+x+=+12%2F2+\"$
\n" ); document.write( " $\"+x+=+6+\"$
\n" ); document.write( "The number is 6
\n" ); document.write( "check:
\n" ); document.write( " $\"+x+%5E2+%2B+x+=+42+\"$
\n" ); document.write( " $\"+6+%5E2+%2B+6+=+42+\"$
\n" ); document.write( " $\"+36+%2B+6+=+42+\"$
\n" ); document.write( " $\"+42+=+42+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );