document.write( "Question 421079: 3 times a number is 28 less than the square of that number. Find the positive solution. \n" ); document.write( "
Algebra.Com's Answer #294074 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"3\" times a number is \"28\" less than the square of that number\r
\n" ); document.write( "\n" ); document.write( "let a number be \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"3x%2B28=x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-3x-28=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2-4%2A1%2A%28-28%29+%29%29%2F%282%2A1%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%283+%2B-+sqrt%28+9+%2B+112+%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%283+%2B-+sqrt%28++121+%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%283+%2B-+%28++11%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "positive solution\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%283+%2B++11%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=++14%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=++7+\"\r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"3x%2B28=x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"3%2A7%2B28=7%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"21%2B28=49\"\r
\n" ); document.write( "\n" ); document.write( "\"49=49\"\r
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