Can you express this in form 1 a + 1 b Can you express the fraction 1949 1999 in the form 1 a + 1 b ? Give reasons supporting your answer.I think the only way to do this is keep trying numbers but then I will never get the answer. I cry every time.

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Can you express this in form       1    a    +      1    b  Can you express the fraction       1949    1999   in the form       1    a    +      1    b  ? Give reasons supporting your answer.I think the only way to do this is keep trying numbers but then I will never get the answer. I cry every time.

Karla Hull · Accepted Answer

1    a    +      1    b    =            a      +      b              a      b        ,so you would need   a  b to divide   1999. But…

Logan Wyatt · Accepted Answer

Given      1    a    +      1    b    =      1949    1999  Combining the fraction gives            a      +      b              a      b        =      1949    1999  Setting terms gives the system      {                            a          +          b          =          1949                                      a          b          =          1999                        With   a  ,  b can be solved by a quadratic. Namely      b    2    −  1949  b  +  1999      b    2    −  1949  b  +  1999Where   a  =  1949  −  bSince   1999 cannot be factored, the roots are really ugly looking numbers. Namely, the two possible values of   b are      b    1    =            1949      +              3790605              2          b    2    =            1949      −              3790605              2  and with the   a values as      a    1    =            1949      −              3790605              2          a    2    =            1949      +              3790605              2

Can you express this in form 1 a </mfrac> + 1 b </mfrac> Ca

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