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2. Solving quadratic equations with continued fractions - Wikipedia

   en.wikipedia.org/wiki/Solving_quadratic...

   If this infinite continued fraction converges at all, it must converge to one of the roots of the monic polynomial x 2 + bx + c = 0. Unfortunately, this particular continued fraction does not converge to a finite number in every case. We can easily see that this is so by considering the quadratic formula and a monic polynomial with real ...

3. Periodic continued fraction - Wikipedia

   en.wikipedia.org/wiki/Periodic_continued_fraction

   Such a quadratic irrational may also be written in another form with a square-root of a square-free number (for example (+) /) as explained for quadratic irrationals. By considering the complete quotients of periodic continued fractions, Euler was able to prove that if x is a regular periodic continued fraction, then x is a quadratic irrational ...

4. Continued fraction - Wikipedia

   en.wikipedia.org/wiki/Continued_fraction

   Another meaning for generalized continued fraction is a generalization to higher dimensions. For example, there is a close relationship between the simple continued fraction in canonical form for the irrational real number α, and the way lattice points in two dimensions lie to either side of the line y = αx. Generalizing this idea, one might ...

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6. Terrifying video shows maniac with violent history shove ...

   www.aol.com/straphanger-critical-condition-being...

   Chilling video footage obtained by The Post shows the cowardly brute roaming the edge of the platform while the victim appears to be looking at his phone as the train pulls into the station.

7. Worksheet - Wikipedia

   en.wikipedia.org/wiki/Worksheet

   The form comes with two worksheets, one to calculate exemptions, and another to calculate the effects of other income (second job, spouse's job). The bottom number in each worksheet is used to fill out two if the lines in the main W4 form. The main form is filed with the employer, and the worksheets are discarded or held by the employee.