document.write( "Question 1112826: The sum of a number and its reciprocal is 10/3. Find the numbers \n" ); document.write( "

Algebra.Com's Answer #727842 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( "---------------------------
\n" ); document.write( "Use the quadratic formula
\n" ); document.write( " $\"+x+=+%28+-b+%2B-sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29%2F+%282a%29+\"$
\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( " $\"+x+=+%28+10+%2B-sqrt%28+100+-+36+%29%29%2F6+\"$
\n" ); document.write( " $\"+x+=+%28+10+%2B-sqrt%28+64+%29%29%2F6+\"$
\n" ); document.write( " $\"+x+=+%28+10+%2B+8+%29%2F6+\"$
\n" ); document.write( " $\"+x+=+3+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+x+=+%28+10+-+8+%29%2F6+\"$
\n" ); document.write( " $\"+x+=+1%2F3+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "The answers are 3, and 1/3
\n" ); document.write( " \n" ); document.write( "

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