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  1. Why do we get extraneous roots when solving radical or rational …

    Apr 29, 2022 · Closed 2 years ago. We all know that we might get extraneous solutions when solving certain equations like rational equations and equations with radicals. In high school, teachers tell …

  2. education - "Real world" applications of rational functions ...

    Aug 16, 2014 · A "real world" application of rational functions is the "Thin Lens Equation" which relates focal length, object distance, and real image distance. It is as practical as it gets. Cameras, eyeballs, …

  3. algebra precalculus - Rational Equations: What are Excluded Values ...

    Mar 20, 2019 · Rational Equations: What are Excluded Values? Ask Question Asked 6 years, 9 months ago Modified 6 years, 8 months ago

  4. calculus - can radical and rational equations be linear? - Mathematics ...

    Jul 14, 2020 · Can those rational and radical equations that can be manipulated to linear forms called linear equations like the examples above? Are all first degree one variable equations linear?

  5. Quadratic Equations - One rational solution? - Mathematics Stack …

    Nov 19, 2014 · A quadratic equation that has only one rational solution will be one where: The discriminant equates to 0. (the expression underneath the square root sign will equal 0) This means …

  6. algebra precalculus - Losing Solutions to a Rational Equation ...

    Oct 31, 2020 · The question is now reduced to solving a linear equation and the solutions to this linear equation will be the solutions to the rational equation (assuming they don't create a zero in any of the …

  7. diophantine equations - Rational solutions for $x+y+\frac 1x+\frac 1y ...

    Nov 18, 2025 · A previous question asked for rational solutions of $x+y+\frac 1x+\frac 1y=2025$ without any positivity assumption. It has been closed since the absence of positive ...

  8. Rational word problem: comparing two rational functions

    May 4, 2018 · This is a Grade 12 Advanced Functions (pre-calculus) word problem: So far we have learned how to solve rational equations, inequalities, and rates of change. I have not encountered a …

  9. algebra precalculus - Finding out a rational equation via a graph ...

    Nov 6, 2012 · Finding out a rational equation via a graph Ask Question Asked 13 years, 1 month ago Modified 12 years, 11 months ago

  10. Why aren't equations with rational expressions equivalent to different ...

    Dec 24, 2022 · When dealing with equations, although it is common practice to perform operations such as multiplication and division to both sides of an equation, we need to be mindful that such …