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2. Solving quadratic equations with continued fractions - Wikipedia

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

   Denoting the two roots by r 1 and r 2 we distinguish three cases. If the discriminant is zero the fraction converges to the single root of multiplicity two. If the discriminant is not zero, and |r 1 | ≠ |r 2 |, the continued fraction converges to the root of maximum modulus (i.e., to the root with the greater absolute value).

3. Cross-multiplication - Wikipedia

   en.wikipedia.org/wiki/Cross-multiplication

   Note that even simple equations like = are solved using cross-multiplication, since the missing b term is implicitly equal to 1: =. Any equation containing fractions or rational expressions can be simplified by multiplying both sides by the least common denominator.

4. Equating coefficients - Wikipedia

   en.wikipedia.org/wiki/Equating_coefficients

   The unique pair of values a, b satisfying the first two equations is (a, b) = (1, 1); since these values also satisfy the third equation, there do in fact exist a, b such that a times the original first equation plus b times the original second equation equals the original third equation; we conclude that the third equation is linearly ...

5. Equation solving - Wikipedia

   en.wikipedia.org/wiki/Equation_solving

   The solution set of the equation ⁠ x 2 / 4 ⁠ + y 2 = 1 forms an ellipse when interpreted as a set of Cartesian coordinate pairs. Main article: Solution set The solution set of a given set of equations or inequalities is the set of all its solutions, a solution being a tuple of values, one for each unknown , that satisfies all the equations ...

6. Is it possible to retire comfortably on Social Security alone ...

   www.aol.com/possible-retire-comfortably-social...

   They draw $3,890 a month from Social Security, along with $240 a month from two small pensions. Rent and monthly utilities total at least $2,200 a month: More than half of their income.

7. Homeowners have nearly 40x the wealth of renters. But what's ...

   www.aol.com/homeowners-nearly-40x-wealth-renters...

   Still, the scope of the problem – renters have a median net worth of just $10,400 compared to about $400,000 for homeowners with only about half of that accounted for by home equity – suggests ...