document.write( "Question 152845This question is from textbook Algebra structure and method book 1
\n" ); document.write( ": can you please help me solve and check this promblem: (((The sum of a number and its reciprocal is 10/3. What is the number?))) \n" ); document.write( "

Algebra.Com's Answer #112331 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Call the number N.
\n" ); document.write( " $\"N%2B1%2FN=10%2F3\"$
\n" ); document.write( " $\"3N%2B3%2FN=10\"$ Multiply both sides by 3.
\n" ); document.write( " $\"3N%5E2%2B3=10N\"$ Multiply both sides by N.
\n" ); document.write( " $\"3N%5E2-10N%2B3=0\"$ Bring everything over to one side.
\n" ); document.write( " $\"%283N-1%29%28N-3%29=0\"$ Factor the quadratic equation.
\n" ); document.write( "First solution:
\n" ); document.write( " $\"%283N-1%29=0\"$
\n" ); document.write( " $\"3N=1\"$
\n" ); document.write( " $\"highlight%28N=1%2F3%29\"$
\n" ); document.write( "Second solution:
\n" ); document.write( " $\"N-3=0\"$
\n" ); document.write( " $\"highlight%28N=3%29\"$ \n" ); document.write( "

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