Construct the fraction one-half by summing other fractions of the form 1/(x2).(Choose various values of x (for example, 1/(3)2 or 1/(25)2 but no value of x may be greater than 100 and no value of x may be repeated.)

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vibrerentb · Accepted Answer

Step 1Let the fraction be       1          x      2        ,      1          y      2            1          x      2        +      1          y      2        =      1    2  Let   x  =  10  ⇒      1          10      2        +      1          y      2        =      1    2      ⇒      1    100    +      1          y      2        =      1    2      ⇒      1          y      2        =      1    2    −      1    100      ⇒      1          y      2        =      49    100      ⇒      y    2    =      100    49      ⇒  y  =      10    7  Step 2So the two numbers are 10, 10/7Therefore,       1          10      2        +      1          (              10        7                    )        2              =      1    2

Construct the fraction one-half by summing other fractions of the form 1/(x2). (Choose various values of x (for example, 1/(3)2 or 1/(25)2 but no value of x may be greater than 100 and no value of x may be repeated.)

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