Tìm x biết [25{ rm{ % }}.x - 70 frac{{10}}{{11}}: left( { frac{{131313}}{{151515}} + frac{{131313}}{{353535}} + frac{{131313}}{{636363}} + frac{{131313}}{{999999}}} right) = - 5 ]...

* Hướng dẫn giải

Ta có: \[25{\rm{\% }}.x - 70\frac{{10}}{{11}}:\left( {\frac{{131313}}{{151515}} + \frac{{131313}}{{353535}} + \frac{{131313}}{{636363}} + \frac{{131313}}{{999999}}} \right) = - 5\]

\[\frac{1}{4}x - 70\frac{{10}}{{11}}:\left( {\frac{{131313:10101}}{{151515:10101}} + \frac{{131313}}{{353535}} + \frac{{131313:10101}}{{636363:10101}} + \frac{{131313:10101}}{{999999:10101}}} \right) = - 5\]

\[25{\rm{\% }}.x - 70\frac{{10}}{{11}}:\left( {\frac{{13}}{{15}} + \frac{{13}}{{35}} + \frac{{13}}{{63}} + \frac{{13}}{{99}}} \right) = - 5\]

\[25{\rm{\% }}.x - 70\frac{{10}}{{11}}:\left[ {13.\left( {\frac{1}{{3.5}} + \frac{1}{{5.7}} + \frac{1}{{7.9}} + \frac{1}{{9.11}}} \right)} \right] = - 5\]

\[25{\rm{\% }}.x - 70\frac{{10}}{{11}}:\left[ {\frac{{13}}{2}.\left( {\frac{1}{3} - \frac{1}{5} + \frac{1}{5} - \frac{1}{7} + \frac{1}{7} - \frac{1}{9} + \frac{1}{9} - \frac{1}{{11}}} \right)} \right] = - 5\]

\[25{\rm{\% }}.x - 70\frac{{10}}{{11}}:\left[ {\frac{{13}}{2}.\left( {\frac{1}{3} - \frac{1}{{11}}} \right)} \right] = - 5\]

\[25{\rm{\% }}.x - 70\frac{{10}}{{11}}:\left( {\frac{{13}}{2}.\frac{8}{{33}}} \right) = - 5\]

\[\begin{array}{*{20}{l}}{25{\rm{\% }}.x - \frac{{780}}{{11}}:\frac{{52}}{{33}} = - 5}\\{25{\rm{\% }}.x - \frac{{780}}{{11}}.\frac{{33}}{{52}} = - 5}\\{25{\rm{\% }}.x - 45 = - 5}\\{25{\rm{\% }}.x = - 5 + 45}\\{25{\rm{\% }}.x = 40}\\{x = 40:\frac{{25}}{{100}}}\\{x = 160}\end{array}\]

Đáp án cần chọn là: D