# Radical Equations And Problem Solving

Warning: Many instructors do not to show many examples (in class or in the homework) of radical equations for which the solutions don't actually work.But then they'll put one or more of these on the next test.But I'll check my solution at the end, anyway, because the instructions require it.

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This illustrates why I had to check my solution to figure out that the real answer was "no solution".

If the instructions don't tell you that you must check your answers, check them anyway.

At the very least, compare your solution with a graph on your graphing calculator.

So I'd have been checking my solutions for this question, even if they hadn't told me to.

I'll treat the two sides of this equation as two functions, and graph them, so I have some idea what to expect. This is for my own sense of confidence in my work.) I'll graph the two sides of the equation as: solution. It came from my squaring both sides of the original equation. I can see it in the squared functions and their graph: ("Extraneous", pronounced as "eck-STRAY-nee-uss", in this context means "mathematically correct, but not relevant or useful, as far as the original question is concerned".

(This is just one of many potential errors possible in mathematics.) To see how this works in our current context, let's look at a very simple radical equation: There is another way to look at this "no solution" difficulty.

When we are solving an equation, we can view the process as trying to find where two lines intersect on a graph.

On the left-hand side of this equation, I have a square root. On the right-hand side, I've got a positive number.

Since both sides are known positive, squaring won't introduce extraneous solutions.

• ###### Solving Radical Equations - GitHub Pages

Radical Equations. A radical equation Any equation that contains one or more radicals with a variable in the radicand. is any equation that contains one or more radicals with a variable in the radicand. Following are some examples of radical equations, all of which will be solved in this section…

• ###### Solving Radical Equations - - Algebra Help.

For a complete lesson on solving radical equations, go to 1000+ online math lessons featuring a personal math.…

• ###### Solving square-root equations one solution video Khan.

Take for example the problem in this video. If he had not. In general, when we solve radical equations, we often look for real solutions to the equations. So yes.…

• ###### Solving Radical Equations - CliffsNotes

A radical equation is an equation in which a variable is under a radical. If there is still a radical equation, repeat steps 1 and 2; otherwise, solve the resulting. Since radicals with odd indexes can have negative answers, this problem does.…

• ###### Solving Radical Equations - Math is Fun

Solving Radical Equations. We can get rid of a square root by squaring. Or cube roots by cubing, etc. But Warning this can sometimes create "solutions" which.…

• ###### Solving Radical Equations - ChiliMath

Learning how to solve radical equations requires a lot of practice and familiarity of the different types of problems. In this lesson, the goal is to show you detailed.…

• ###### Radical Expressions and Equations -

Algebra 1 answers to Chapter 10 - Radical Expressions and Equations - Chapter Review - 10-4 Solving Radical Equations - Page 643 45 including work step by step written by community members like you.…

Learn how to solve more challenging radical equations in this free math video tutorial by Mario's Math Tutoring. Example 1 Solving Square.…