Section Exercises
1. In a radical equation, what does it mean if a number is an extraneous solution? 2. Explain why possible solutions must be checked in radical equations. 3. Your friend tries to calculate the value and keeps getting an ERROR message. What mistake is he or she probably making? 4. Explain why has no solutions. 5. Explain how to change a rational exponent into the correct radical expression. For the following exercises, solve the rational exponent equation. Use factoring where necessary. 6. 7. 8. 9. 10. 11. 12. For the following exercises, solve the following polynomial equations by grouping and factoring. 13. 14. 15. 16. 17. 18. 19. For the following exercises, solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions. 20. 21. 22. 23. 24. 25. 26. 27. 28. For the following exercises, solve the equation involving absolute value. 29. 30. 31. 32. 33. 34. 35. 36. For the following exercises, solve the equation by identifying the quadratic form. Use a substitute variable and find all real solutions by factoring. 37. 38. 39. 40. 41. For the following exercises, solve for the unknown variable. 42. 43. 44. 45. For the following exercises, use the model for the period of a pendulum, , such that , where the length of the pendulum is L and the acceleration due to gravity is . 46. If the acceleration due to gravity is and the period equals 1 s, find the length to the nearest cm (100 cm = 1 m). 47. If the gravity is and the period equals 1 s, find the length to the nearest in. (12 in. = 1 ft). Round your answer to the nearest in. For the following exercises, use a model for body surface area, BSA, such that , where w = weight in kg and h = height in cm. 48. Find the height of a 72-kg female to the nearest cm whose . 49. Find the weight of a 177-cm male to the nearest kg whose .Licenses & Attributions
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- College Algebra. Provided by: OpenStax Authored by: OpenStax College Algebra. Located at: https://cnx.org/contents/9b08c294-057f-4201-9f48-5d6ad992740d@3.278:1/Preface. License: CC BY: Attribution.