
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 …
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, …
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
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?
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 …
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 …
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 ...
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 …
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
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 …