document.write( "Question 1009238: The square of a positive number increased by 4 times the number is equal to 140. Find the number. \n" ); document.write( "

Algebra.Com's Answer #624732 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
let a positive number be $\"x\"$
\n" ); document.write( "if the $\"square\"$ of a positive number increased by $\"4\"$ times the number is equal to $\"140\"$ , we have\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B4x=140\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B4x-140=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B4x-140=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B14x-10x-140=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2%2B14x%29-%2810x%2B140%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%28x%2B14%29-10%28x%2B14%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-10%29%28x%2B14%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if $\"%28x-10%29+=+0\"$ => $\"x=10\"$
\n" ); document.write( "if $\"%28x%2B14%29+=+0\"$ => $\"x=-14\"$ \r
\n" ); document.write( "\n" ); document.write( "so, the number could be $\"10\"$ or $\"-14\"$ \r
\n" ); document.write( "\n" ); document.write( "but, since given condition is that we need \"a positive number\", your solution is number $\"highlight%2810%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );