Download presentation

Presentation is loading. Please wait.

1
**Solve equations using nth roots**

EXAMPLE 4 Solve equations using nth roots Solve the equation. a. 4x5 = 128 x5 32 = Divide each side by 4. x = 32 5 Take fifth root of each side. x 2 = Simplify.

2
**Solve equations using nth roots**

EXAMPLE 4 Solve equations using nth roots b. (x – 3)4 = 21 x – 3 4 + – 21 = Take fourth roots of each side. x 4 + – 21 + 3 = Add 3 to each side. x 4 21 + 3 = or – Write solutions separately. x 5.14 or 0.86 Use a calculator.

3
EXAMPLE 5 Use nth roots in problem solving Biology A study determined that the weight w (in grams) of coral cod near Palawan Island, Philippines, can be approximated using the model w = ℓ 3 where l is the coral cod’s length (in centimeters). Estimate the length of a coral cod that weighs 200 grams.

4
**Use nth roots in problem solving**

EXAMPLE 5 Use nth roots in problem solving SOLUTION w l 3 = Write model for weight. 200 l 3 = Substitute 200 for w. 11,976 l 3 Divide each side by 11,976 3 l Take cube root of each side. 22.9 l Use a calculator. ANSWER A coral cod that weighs 200 grams is about 23 centimeters long.

5
GUIDED PRACTICE for Examples 4 and 5 Solve the equation. Round the result to two decimal places when appropriate. 16. 1 4 x3 = 2 x3 = 64 SOLUTION x = 4 SOLUTION x = 2 14. 1 2 x5 = 512 17. ( x – 2 )3 = –14 SOLUTION x = –0.41 SOLUTION x = 4 15. 3x2 = 108 18. ( x + 5 )4 = 16 SOLUTION SOLUTION x – = + 6 x = – 3 or = –7

6
GUIDED PRACTICE for Examples 4 and 5 WHAT IF? Use the information from Example 5 to estimate the length of a coral cod that has the given weight. 19. a grams SOLUTION 25 cm b grams SOLUTION 27 cm c grams SOLUTION 30 cm

Similar presentations

OK

EXAMPLE 4 Solve equations using nth roots Solve the equation. a. 4x 5 = 128 Divide each side by 4. x5x5 32= Take fifth root of each side. x= 32 5 Simplify.

EXAMPLE 4 Solve equations using nth roots Solve the equation. a. 4x 5 = 128 Divide each side by 4. x5x5 32= Take fifth root of each side. x= 32 5 Simplify.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Presentations ppt online Slide show view ppt on mac Ppt on campus area network Ppt on electronic payment systems Ppt on water pollution in australia Ppt on mother's day of class 11 Ppt on computer science projects Ppt on spirit of unity in india Ppt on animals our friends essay Ppt on different sectors of economy