Equations

This course is a part of Algebra II, a 23-course Topic series from Khan Academy.

In Algebra 1, students solves linear and quadratic equations, and learned how the two processes are based on the same logical principles. In this unit, we extend these processes to solve a greater variety of equations, like rational and radical equations. We learn that we may sometimes get extraneous solutions. We also solve systems that include quadratic equations, and learn how we can use graphs to estimate a solution for any kind of equation!

This course contains 6 segments:

Rational equations

Learn how to solve equations that have a rational expression, or a few of those.

Square-root equations

Learn how to solve equations with square-root expressions in them. For example, solve √(2x-5)=√(7-3x).

Extraneous solutions

Learn about the conditions for obtaining extraneous solutions while solving radical equations.

Cube-root equations

Learn how to solve equations with cube-root expressions in them. For example, solve ∛(2-6x)=x+3.

Quadratic systems

Learn how to solve systems of two equations in two variables, where at least one of the equations is quadratic.

Solving equations by graphing

Learn how to approximate the solution to any equation by using the power of graphs.