Problem 1SP: Solve the equation.
1.
Problem 2SP: Solve the equation. y 2 / 3 − y 1 / 3 = 12 Problem 3SP: Solve the equation. z − z − 2 = 0 Problem 4SP: Solve the equation. 9 x 4 + 35 x 2 − 4 = 0 Problem 5SP: Solve the equation.
5.
Problem 1PE: 1. a. An equation that can be written in the form a where u represents an algebraic expression is... Problem 2PE: For Exercises 2–7, solve the quadratic equations. 16 = ( 2 x − 3 ) 2 Problem 3PE: For Exercises 2–7, solve the quadratic equations.
3.
Problem 4PE: For Exercises 2–7, solve the quadratic equations. n ( n − 6 ) = − 13 Problem 5PE: For Exercises 2–7, solve the quadratic equations. x ( x + 8 ) = − 16 Problem 6PE: For Exercises 2–7, solve the quadratic equations. 6 k 2 + 7 k = 6 Problem 7PE: For Exercises 2–7, solve the quadratic equations. 2 x 2 − 8 x − 44 = 0 Problem 8PE: a. Solve the quadratic equation by factoring. u 2 − 2 u − 24 = 0 b. Solve the equation by using... Problem 9PE: 9. a. Solve the quadratic equation by factoring.
b. Solve the equation by using substitution.
Problem 10PE: a. Solve the quadratic equation by factoring. u 2 − 2 u − 35 = 0 b. Solve the equation by using... Problem 11PE: For Exercises 11–24, solve the equation by using substitution. (See Examples 1–3.)
11.
Problem 12PE: For Exercises 11–24, solve the equation by using substitution. (See Examples 1–3.) ( x 2 + x ) 2 − 8... Problem 13PE: For Exercises 11–24, solve the equation by using substitution. (See Examples 1–3.) ( y 2 − 4 y ) 2 −... Problem 14PE: For Exercises 11–24, solve the equation by using substitution. (See Examples 1–3.) ( w 2 − 2 w ) 2 −... Problem 15PE: For Exercises 11–24, solve the equation by using substitution. (See Examples 1–3.) m 2 / 3 − m 1 / 3... Problem 16PE: For Exercises 11–24, solve the equation by using substitution. (See Examples 1–3.) 2 n 2 / 3 + 7 n 1... Problem 17PE: For Exercises 11–24, solve the equation by using substitution. (See Examples 1–3.)
17.
Problem 18PE: For Exercises 11–24, solve the equation by using substitution. (See Examples 1–3.) p 2 / 5 + p 1 / 5... Problem 19PE: For Exercises 11–24, solve the equation by using substitution. (See Examples 1–3.) y + 6 y = 16 Problem 20PE: For Exercises 11–24, solve the equation by using substitution. (See Examples 1–3.)
20.
Problem 21PE: For Exercises 11–24, solve the equation by using substitution. (See Examples 1–3.) 2 x + 3 x − 2 = 0 Problem 22PE: For Exercises 11–24, solve the equation by using substitution. (See Examples 1–3.) 3 t + 5 t − 2 = 0 Problem 23PE: For Exercises 11–24, solve the equation by using substitution. (See Examples 1–3.) 16 ( x + 6 4 ) 2... Problem 24PE: For Exercises 11–24, solve the equation by using substitution. (See Examples 1–3.)
24.
Problem 25PE: 25. In Example 3, we solved the equation by using substitution. Now solve this equation by first... Problem 26PE: For Exercises 26–36, solve the equations. (See Examples 4–5.) t 4 + t 2 − 12 = 0 Problem 27PE: For Exercises 26–36, solve the equations. (See Examples 4–5.)
27.
Problem 28PE: For Exercises 26–36, solve the equations. (See Examples 4–5.)
28.
Problem 29PE: For Exercises 26–36, solve the equations. (See Examples 4–5.)
29.
Problem 30PE: For Exercises 26–36, solve the equations. (See Examples 4–5.) y 30 − 1 = − 12 5 y Problem 31PE: For Exercises 26–36, solve the equations. (See Examples 4–5.)
31.
Problem 32PE: For Exercises 26–36, solve the equations. (See Examples 4–5.) x + 5 x + x 2 = x + 19 4 x Problem 33PE: For Exercises 26–36, solve the equations. (See Examples 4–5.) 3 x x + 1 − 2 x − 3 = 1 Problem 34PE: For Exercises 26–36, solve the equations. (See Examples 4–5.) 2 t t − 3 − 1 t + 4 = 1 Problem 35PE: For Exercises 26–36, solve the equations. (See Examples 4–5.) x 2 x − 2 = 1 x − 2 Problem 36PE: For Exercises 26–36, solve the equations. (See Examples 4–5.)
36.
Problem 37PE: For Exercises 37–60, solve the equations. x 4 − 16 = 0 Problem 38PE: For Exercises 37–60, solve the equations. t 4 − 625 = 0 Problem 39PE: For Exercises 37–60, solve the equations. ( 4 x + 5 ) 2 + 3 ( 4 x + 5 ) + 2 = 0 Problem 40PE: For Exercises 37–60, solve the equations.
40.
Problem 41PE: For Exercises 37–60, solve the equations. 4 m 4 − 9 m 2 + 2 = 0 Problem 42PE: For Exercises 37–60, solve the equations.
42.
Problem 43PE: For Exercises 37–60, solve the equations. x 6 − 9 x 3 + 8 = 0 Problem 44PE: For Exercises 37–60, solve the equations.
44.
Problem 45PE: For Exercises 37–60, solve the equations.
45.
Problem 46PE: For Exercises 37–60, solve the equations. x 2 + 60 = 4 x Problem 47PE: For Exercises 37–60, solve the equations.
47.
Problem 48PE: For Exercises 37–60, solve the equations. t + 10 = t + 4 Problem 49PE: For Exercises 37–60, solve the equations. 2 ( t − 4 3 ) 2 − ( t − 4 3 ) − 3 = 0 Problem 50PE: For Exercises 37–60, solve the equations. ( x + 1 5 ) 2 − 3 ( x + 1 5 ) − 10 = 0 Problem 51PE: For Exercises 37–60, solve the equations.
51.
Problem 52PE: For Exercises 37–60, solve the equations. x 2 / 5 − 3 x 1 / 5 = − 2 Problem 53PE: For Exercises 37–60, solve the equations. m 4 + 2 m 2 − 8 = 0 Problem 54PE: For Exercises 37–60, solve the equations. 2 c 4 + c 2 − 1 = 0 Problem 55PE: For Exercises 37–60, solve the equations. a 3 + 16 a − a 2 − 16 = 0 (Hint: Factor by grouping... Problem 56PE: For Exercises 37–60, solve the equations. b 3 + 9 b − b 2 − 9 = 0 Problem 57PE: For Exercises 37–60, solve the equations.
57.
Problem 58PE: For Exercises 37–60, solve the equations. y 3 + 8 y − 3 y 2 − 24 = 0 Problem 59PE: For Exercises 37–60, solve the equations.
59.
Problem 60PE: For Exercises 37–60, solve the equations. ( 5 x + 1 ) 2 − 6 ( 5 x + 1 ) − 16 = 0 Problem 61PE: a.Solve the equation x 4 + 4 x 2 + 4 = 0 . b.How many solutions are real and how many solutions are... Problem 62PE: 62. a. Solve the equation .
b. How many solutions are real and how many solutions are... Problem 63PE: a.Solve the equation x 4 − x 3 − 6 x 2 = 0 . b.How many solutions are real and how many solutions... Problem 64PE: a. Solve the equation x 4 − 10 x 2 + 9 = 0 . b. How many solutions are real and how many solutions... Problem 1PRE: For Exercises 1–4, solve each equation by
a. Completing the square and applying the square root... Problem 2PRE: For Exercises 1–4, solve each equation by a.Completing the square and applying the square root... Problem 3PRE: For Exercises 1–4, solve each equation by
a. Completing the square and applying the square root... Problem 4PRE: For Exercises 1–4, solve each equation by
a. Completing the square and applying the square root... Problem 5PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 6PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 7PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 8PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 9PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 10PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 11PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 12PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 13PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 14PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 15PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 16PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 17PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 18PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 19PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 20PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 21PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 22PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 23PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... Problem 24PRE: In Exercises 5–24, we have presented all types of equations that you have learned up to this point.... format_list_bulleted