document.write( "Question 115096: THE SUM OF A NUMBER AND 12 TIMES ITS RECIPROCAL IS 7. FIND THE NUMBER \n" ); document.write( "
Algebra.Com's Answer #83731 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "THE SUM OF A NUMBER AND 12 TIMES ITS RECIPROCAL IS 7. FIND THE NUMBER\r
\n" ); document.write( "\n" ); document.write( "let THE NUMBER be \"x\",then\r
\n" ); document.write( "\n" ); document.write( "\"x+%2B+12+%281%2Fx%29+=+7\"..........multiply both sides by \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2Ax+%2B+12+%281%2Fx%29%2Ax+=+7%2Ax\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B+12+=+7x\".....move \"7x\" to the left\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+-+7x+%2B+12+=+0\".....use quadratic formula to solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%28-b+%2B-+sqrt+%28b%5E2+-4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%28-%28-7%29+%2B-+sqrt+%28%28-7%29%5E2+-4%2A1%2A12+%29%29+%2F+%282%2A1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%287+%2B-+sqrt+%2849+-+48%29%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%287+%2B-+sqrt+%281%29%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%287+%2B-+1%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%5D=%287+%2B+1%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%5D=+8%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%5D=+4\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D=%287+-1%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D=+6%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D=+3\"\r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"x+%2B+12+%281%2Fx%29+=+7\"..........\r
\n" ); document.write( "\n" ); document.write( "\"4%2B+12+%281%2F4%29+=+7\"..........\r
\n" ); document.write( "\n" ); document.write( "\"4%2B+3+=+7\"..........\r
\n" ); document.write( "\n" ); document.write( "\"7+=+7\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+%2B+12+%281%2Fx%29+=+7\"..........\r
\n" ); document.write( "\n" ); document.write( "\"3+%2B+12+%281%2F3%29+=+7\"..........\r
\n" ); document.write( "\n" ); document.write( "\"3+%2B+4+=+7\"..........\r
\n" ); document.write( "\n" ); document.write( "\"7+=+7\"\r
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