SOLUTION: The sum of the integer and twice its reciprocal is 11/3. Find the integer.

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Question 369736: The sum of the integer and twice its reciprocal is 11/3. Find the integer.
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!

multiply both sides by 3x

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


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

DETAILED EXPLANATION

Look at .
Moved these terms to the left highlight_green%28+-11%2Ax+%29
It becomes .
Look at .
Moved 6 to the right of expression
It becomes .
Look at .
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 .
Result:
This is an equation! Solutions: x=3,x=0.666666666666667.

Universal Simplifier and Solver


Done!


x=3 is your answer, as the other answer is not integer.
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