1 / 6

Solving Radical Equations

Solving Radical Equations. The Power Rule Equations Containing One Radical Equations Containing Two Radicals. Definitions. A Radical Equation must have at least one radicand containing a variable The Power Rule :

jin-garrison
Download Presentation

Solving Radical Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Solving Radical Equations • The Power Rule • Equations Containing One Radical • Equations Containing Two Radicals

  2. Definitions • A Radical Equation must have at least one radicand containing a variable • The Power Rule: • If we raise two equal quantities to the same power, the results are also two equal quantities • If x = y then xn = yn • Warning: These are NOT equivalent Equations!

  3. Why are they not Equivalent? • Start with a simple original equation: • x = 3 • Square both sides to get a new equation: • x2 = 32 which simplifies to x2 = 9 • The only solution to x = 3 is 3 • x2 = 9 has two solutions 3 and -3 • Raising both sides of the equation to an equal power is called an irreversible step. • Therefore we need to check our solutions to make sure they are valid.

  4. Equations Containing One Radical • To eliminate the radical,raise both sides to the index of the radical

  5. Sometimes, You First Need to Isolate the Radical • Get the radical alone before raising to a power

  6. Practice – on the board

More Related