document.write( "Question 187058: The sum of a number and its reciprocal is 10/3. What is the number? \n" ); document.write( "

Algebra.Com's Answer #140218 by josmiceli(19441) $\"\"$ $\"About$

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$\"x+%2B+1%2Fx+=+10%2F3\"$
\n" ); document.write( "Multiply both sides by $\"3x\"$
\n" ); document.write( " $\"3x%5E2+%2B+3+=+10x\"$
\n" ); document.write( " $\"3x%5E2+-+10x+%2B+3+=+0\"$
\n" ); document.write( "Use quadratic formula
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"a+=+3\"$
\n" ); document.write( " $\"b+=+-10\"$
\n" ); document.write( " $\"c+=+3\"$
\n" ); document.write( " $\"x+=+%28-%28-10%29+%2B-+sqrt%28+%28-10%29%5E2-4%2A3%2A3+%29%29%2F%282%2A3%29+\"$
\n" ); document.write( " $\"x+=+%2810+%2B-+sqrt%28+100+-+36+%29%29%2F6+\"$
\n" ); document.write( " $\"x+=+%2810+%2B-+sqrt%28+64+%29%29%2F6+\"$
\n" ); document.write( " $\"x+=+%2810+%2B-+8%29%2F6+\"$
\n" ); document.write( " $\"x+=+3\"$
\n" ); document.write( " $\"x+=+1%2F3\"$
\n" ); document.write( "The sum of 3 and it's reciprocal is 10/3
\n" ); document.write( "also, the sum of 1/3 and it's reciprocal is 10/3 \n" ); document.write( "

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