Name: College Algebra
Author: Blitzer
ISBN: 9780136970514

Ch. 1 - Equations and Inequalities

뒤로

모든 교과서

Blitzer 8th Edition

Ch. 1 - Equations and Inequalities

Section 1.6

문제 23

Solve each radical equation in Exercises 11–30. Check all proposed solutions. √(x + 8) - √(x - 4) = 2

문제 27

Solve each radical equation in Exercises 11–30. Check all proposed solutions. √(2x + 3) + √(x - 2) = 2

문제 30

Solve each radical equation in Exercises 11–30. Check all proposed solutions. $\sqrt{1 + 4 \sqrt{x}} = 1 + \sqrt{x}$

문제 33

Solve each equation with rational exponents in Exercises 31–40. Check all proposed solutions. (x - 4)^3/2 = 27

문제 37

Solve each equation with rational exponents in Exercises 31–40. Check all proposed solutions. (x - 4)^2/3 = 16

문제 39

Solve each equation with rational exponents in Exercises 31–40. Check all proposed solutions. $(x^{2} - x - 4)^{\frac{3}{4}} - 2 = 6$

문제 43

Solve each equation in Exercises 41–60 by making an appropriate substitution. $9 x^{4} = 25 x^{2} - 16$

문제 45

Solve each equation in Exercises 41–60 by making an appropriate substitution. x - 13√x + 40 = 0

문제 52

Solve each equation in Exercises 41–60 by making an appropriate substitution. $x^{\frac{2}{5}} + x^{\frac{1}{5}} - 6 = 0$

문제 55

Solve each equation in Exercises 41–60 by making an appropriate substitution. (x - 5)² - 4(x - 5) - 21 = 0

문제 59

Solve each equation in Exercises 41–60 by making an appropriate substitution. ${(y - \frac{8}{y})}^{2} + 5 (y - \frac{8}{y}) - 14 = 0$

문제 61

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. |x| = 8

문제 63

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. |x - 2| = 7

문제 65

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. |2x - 1| = 5

문제 67

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. 2|3x - 2| = 14

문제 69

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. 7|5x| + 2 = 16

문제 71

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. 2|4 - (5/2)x| + 6 = 18

문제 73

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. |x + 1| + 5 = 3

문제 75

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. |2x - 1| + 3 = 3

문제 77

The rule for rewriting an absolute value equation without absolute value bars can be extended to equations with two sets of absolute value bars: If u and v represent algebraic expressions, then |u| = |v| is equivalent to u = v or u = - v. Use this to solve the equations in Exercises 77–84. |3x - 1| = |x + 5|

문제 79

문제 81

문제 83

문제 86

In Exercises 85–90, find the x-intercepts of the graph of each equation. Then use the x-intercepts to match the equation with its graph. [The graphs are labeled (a) through (f).]

a)b)c)d)e)f)

$y = \sqrt{x - 4} + \sqrt{x + 4} - 4$

문제 88

In Exercises 85–90, find the x-intercepts of the graph of each equation. Then use the x-intercepts to match the equation with its graph. [The graphs are labeled (a) through (f).]

<Image>

$y = x^{-2} - x^{-1} - 6$

문제 92

In Exercises 91–100, find all values of x satisfying the given conditions. y = |2 - 3x| and y = 13

문제 94

In Exercises 91–100, find all values of x satisfying the given conditions. $y = x - \sqrt{x - 2} \quad \text{and} \quad y = 4$

문제 96

In Exercises 91–100, find all values of x satisfying the given conditions. $y = x^{3} + 4 x^{2} - x + 6$ and $y equals 10$

문제 98

In Exercises 91–100, find all values of x satisfying the given conditions. $y = (x - 5)^{\frac{3}{2}} \quad \text{and} \quad y = 125$

문제 100

In Exercises 91–100, find all values of x satisfying the given conditions. $y_1 = 6 \left( \frac{2x}{x - 3} \right)^2, \quad y_2 = 5 \left( \frac{2x}{x - 3} \right), \quad \text{and} \quad y_1 \text{ exceeds } y_2 \text{ by } 6.$