Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our User Agreement and Privacy Policy.

Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our Privacy Policy and User Agreement for details.

Like this presentation? Why not share!

- Simplifying radical expressions, ra... by Jessica Garcia 243342 views
- RADICALS by Kimberly Tomlinson 1672 views
- Operations with Radicals by cmorgancavo 178 views
- Module 14 lesson 4 solving radical ... by civhop1 4433 views
- Exponential growth and decay by Jessica Garcia 44087 views
- Adding and subtracting radicals ppt... by tty16922 2535 views

24,949 views

Published on

No Downloads

Total views

24,949

On SlideShare

0

From Embeds

0

Number of Embeds

19,751

Shares

0

Downloads

413

Comments

0

Likes

3

No embeds

No notes for slide

- 1. 7.7 Solving Radical Equations p.453
- 2. What is a Radical Expression? • A Radical Expression is an equation that has a variable in a radicand or has a variable with a rational exponent. 3 x 10 2 3 yes 25 yes 3 x 10 no ( x 2)
- 3. Steps to solve a radical equation: STEP 1: Isolate the radical on one side of the equation (if possible) STEP 2: Raise each side of the equation to a power equal to the index of the radical to eliminate the radical STEP 3: Solve the remaining polynomial equation. CHECK YOUR RESULTS.
- 4. EXAMPLE – Solving a Radical Equation 5x 1 6 0 5x 1 6 2 2 5x 1 (6 ) 5x 1 36 5x 35 x 7 Square both sides to get rid of the square root
- 5. EXAMPLE x 15 3 x 2 2 x 15 (3 x 15 (3 x 15 24 3 16 x) x )(3 9 6 x 15 16 15 x) x NO SOLUTION Since 16 doesn’t plug in as a solution. 9 6 x 6 x 4 x 16 x 1 3 4 1 1 Let’s Double Check that this works Note: You will get Extraneous Solutions from time to time – always do a quick check
- 6. Let’s Try Some 2 3x 2 6 2( x 2) 2 3 50
- 7. Let’s Try Some 2 3x 2 6 2( x 2) 2 3 50
- 8. SOLVING MORE COMPLEX EQUATIONS 4( x 1) 2 101 20 2 4( x 1) 2 ( x 1) ( x 1) + because we are taking an even power (square root) of both sides 81 81 ( x 1) i ( x 1) ( x 1) 9i x 1 9i 2 2 4 81 4 81 1 4 i 92 9i 2 1 9i 2
- 9. RADICAL EQUATIONS 3(5n 1) 1 3 2 3(5n 1) 1 3 2 1 3 (5n 1) 1 3 (5n 1) 3 (5n 1) 5n 5n 8 0 2 8 27 5n RAISE BOTH SIDES TO RECIPROCAL POWER 3 2 27 8 ISOLATE RADICAL / RATIONAL 3 3 SOLVE FOR THE VARIABLE 27 1 27 35 27 27 n 7 27
- 10. SOLVING MORE COMPLEX EQUATIONS (2 x 1) 0.5 (3x 4) 0.25 0 0.5 0.25 (2 x 1) (3x 4) 0.5 4 0.25 4 [( 2 x 1) ] [(3x 4) ] 2 (2 x 1) 3 x 4 4x 2 4 x 1 3x 4 4x 2 Raise each side to the 4th power. This will get you integer powers – much easier to work with! x x 3 0 3 , 1 4 Factor
- 11. Let’s Try Some . . . check for extraneous solutions (2 x 1) 0.5 (3x 4) 0.25 0
- 12. Let’s Try Some . . . check for extraneous solutions (2 x 1) 0.5 (3x 4) 0.25 0 x 3 , 1 4
- 13. Can graphing calculators help? SURE! x 1. 2. 3. 4. x 2 Input x for Y1 Input x-2 for Y2 Graph Find the points of intersection One Solution at (4, 2) To see if this is extraneous or not, plug the x value back into the equation. Does it work?

No public clipboards found for this slide

×
### Save the most important slides with Clipping

Clipping is a handy way to collect and organize the most important slides from a presentation. You can keep your great finds in clipboards organized around topics.

Be the first to comment