document.write( "Question 369736: The sum of the integer and twice its reciprocal is 11/3. Find the integer. \n" ); document.write( "
Algebra.Com's Answer #263485 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
\"+x+%2B+2%2Fx+=+11%2F3+\"\r
\n" ); document.write( "\n" ); document.write( "multiply both sides by 3x\r
\n" ); document.write( "\n" ); document.write( "\"3x%5E2%2B6+=+11x\"\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: x=3,x=0.666666666666667.
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  • Graphical form: Equation \"3x%5E2%2B6=11x\" was fully solved.
  • Text form: 3x^2+6=11x simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+3x%5E2%2B6=11x+%29\"
    For tutors: simplify_cartoon( 3x^2+6=11x )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"3%2Ax%5E2%2B6=highlight_red%28+11%2Ax+%29\".
Moved these terms to the left \"highlight_green%28+-11%2Ax+%29\"
It becomes \"3%2Ax%5E2%2B6-highlight_green%28+11%2Ax+%29=0\".
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Look at \"3%2Ax%5E2%2Bhighlight_red%28+6+%29-11%2Ax=0\".
Moved \"6\" to the right of expression
It becomes \"3%2Ax%5E2-11%2Ax%2Bhighlight_green%28+6+%29=0\".
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Look at \"highlight_red%28+3%2Ax%5E2-11%2Ax%2B6+%29=0\".
Equation \"highlight_red%28+3%2Ax%5E2-11%2Ax%2B6=0+%29\" is a quadratic equation: 3*x^2-11*x+6 =0, and has solutions 3,0.666666666666667
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=3,x=0.666666666666667.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "x=3 is your answer, as the other answer is not integer. \n" ); document.write( "
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