6. Equations With Radicals

It is important in this section to check your solutions in the original equation, as the process that we use to solve these often produces solutions which actually don't work when subsituted back into the original equation.

(In fact, it is always good to check solutions for equations - you learn so much more about why things work the way they do. ^_^)

Example

Solve `sqrt(2x+6)=2x`

Exercises

1. Solve `sqrt(3x+4)=x`

2. Solve `sqrt(13+sqrtx)=sqrtx+1`

3. Solve `root(4)(x+10)=sqrt(x-2)`

4. In the study of spur gears in contact, the following equation arises:

`kC=sqrt(R_1^2-R_2^2)+sqrt(r_1^2-r_2^2)-A`

Solve for `r_1^2`.

[Being able to solve equations like this is important for science and engineering. We often need to solve for a particular variable in a formula.]

Didn't find what you are looking for on this page? Try search:

Online Algebra Solver

This algebra solver can solve a wide range of math problems. (Please be patient while it loads.)

Online algebra solver - can solve your math problems step-by-step

Algebra Lessons on DVD

get MathTutorDVDs

Easy to understand algebra lessons on DVD. See samples before you commit.

More info: Algebra videos

Ready for a break?

shadow factory

Play a math game.

(Well, not really a math game, but each game was made using math...)

The IntMath Newsletter

Sign up for the free IntMath Newsletter. Get math study tips, information, news and updates each fortnight. Join thousands of satisfied students, teachers and parents!

Given name: * required

Family name:

email: * required

See the Interactive Mathematics spam guarantee.

Share IntMath!

Short URL for this Page

Save typing! You can use this URL to reach this page:

intmath.com/eqnrad