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college algebra

Questions and Answers of College Algebra

In Problems 11–58, perform the indicated operation, and write each expression in the standard form a + bi. V-200
In Problems 43–74, find the real solutions of each equation. x1/2 3x¹/4 + 2 = 0
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 2 - 3x < 5
In Problems 43–74, find the real solutions of each equation. 4x¹/29x¹/4 + 4 = 0
In Problems 43–74, find the real solutions of each equation. √5x² - 6 = x
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 2x + 5 > 1
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 3x - 7 > 2 7>2
In Problems 43–74, find the real solutions of each equation. 04 – 5x2 = X
In Problems 43–74, find the real solutions of each equation. x² + 3x + √x² + 3x = 6
In Problems 59–78, solve each equation in the complex number system.x2 - 16 = 0
In Problems 43–74, find the real solutions of each equation. 2 x² - 3x - Vx² 3x = 2
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 3x - 1 2 3 + x
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 2x2 3 + x ≥
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. -2(x + 3) < 8
In Problems 59–78, solve each equation in the complex number system.x2 + 25 = 0
In Problems 43–74, find the real solutions of each equation. 1 (x + 1)² 1 x + 1 +2
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. -3(1-x) < 12
In Problems 59–78, solve each equation in the complex number system.x2 + 4x + 8 = 0
In Problems 43–74, find the real solutions of each equation. 1 (x - 1)² 1 x - 1 12
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 4 3(1-x) ≤ 3 -
In Problems 43–74, find the real solutions of each equation. 3x-² - 7x1 - 6 = 0
In Problems 43–74, find the real solutions of each equation. 2x-² - 3x-1 - 4 = 0
In Problems 59–78, solve each equation in the complex number system.x2 - 2x + 5 = 0
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 1 2 (x-4) > x + 8
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 84(2x) ≤ - 2x
In Problems 43–74, find the real solutions of each equation. 2x2/35x¹/3-3=0
In Problems 59–78, solve each equation in the complex number system.25x2 - 10x + 2 = 0
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. AI 1-
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 1 3x + 4 > = (x — 2) 3
In Problems 59–78, solve each equation in the complex number system.5x2 + 1 = 2x
In Problems 43–74, find the real solutions of each equation. 3x4/3 + 5x2/32 = 0
In Problems 59–78, solve each equation in the complex number system.13x2 + 1 = 6x
In Problems 43–74, find the real solutions of each equation. ( V v+2, 2 + 3v v+2 10
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 3 AI ≥ 2+ X 6
In Problems 59–78, solve each equation in the complex number system.x2 + x + 1 = 0
In Problems 59–78, solve each equation in the complex number system.x2 - x + 1 = 0
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 0 < 3x - 7 ≤ 5
In Problems 59–78, solve each equation in the complex number system.x3 -64 = 0
In Problems 59–78, solve each equation in the complex number system.x3 + 27 = 0
In Problems 59–78, solve each equation in the complex number system.x4 = 16
In Problems 43–74, find the real solutions of each equation. 2 y (²₁)² - 6 (²₁) + 16 y - 1, y-1,
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 4≤2x + 2 ≤ 10
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. -5 < 4 - 3x < 2
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. -3 ≤3 - 2x ≤ 9
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. -3< 2x - 1 4 < 0
In Problems 75–90, find the real solutions of each equation by factoring.x3 - 9x = 0
In Problems 75–90, find the real solutions of each equation by factoring.x4 - x2 = 0
In Problems 59–78, solve each equation in the complex number system.x4 = 1
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 0< 3x + 2 2
In Problems 75–90, find the real solutions of each equation by factoring.4x3 = 3x2
In Problems 59–78, solve each equation in the complex number system.x4 + 3x2 - 4 = 0
In Problems 75–90, find the real solutions of each equation by factoring.x5 = 4x3
In Problems 75–90, find the real solutions of each equation by factoring.x3 + x2 - 20x = 0
In Problems 75–90, find the real solutions of each equation by factoring. x² + 6x²7x = 0
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. -1/2x 2x
In Problems 75–90, find the real solutions of each equation by factoring. x³ + 4x²-x-4 = 0
In Problems 75–90, find the real solutions of each equation by factoring. x³ + x²-x-1=0
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 1 0
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. (x + 2)(x − 3) > (x − 1)(x + 1) -
In Problems 75–90, find the real solutions of each equation by factoring. x3 x³ 3x²16x + 48 = 0
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. x(4x + 3) ≤ (2x + 1)²
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. (x − 1)(x + 1) > (x − 3)(x + 4)
In Problems 75–90, find the real solutions of each equation by factoring. x³ 3x² x + 3 = 0 - -
In Problems 75–90, find the real solutions of each equation by factoring. 2x³ + 4 = x² + 8x
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. x(9x - 5) ≤ (3x − 1)²
In Problems 75–90, find the real solutions of each equation by factoring. 3x3 + 4x² = 27x + 36
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 1 3 x + 1 2 VI 2 3
In Problems 79–84, without solving, determine the character of the solutions of each equation in the complex number system.x2 + 6 = 2x
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 1 2 VI x + 1 3 3 4
In Problems 75–90, find the real solutions of each equation by factoring. 7x²+28 3x³ + 12x = 7x²
In Problems 75–90, find the real solutions of each equation by factoring. 5+ 20 3x³ + 12x = 5x²
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. -1 (4x + 2)-¹ < 0
In Problems 75–90, find the real solutions of each equation by factoring. x(x² − 3x)¹/³ + 2(x² – 3x)4/3 = 0
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 2(3x + 5)-¹-3 -1 VI
In Problems 75–90, find the real solutions of each equation by factoring. 3x(x² + 2x) ¹/² - 2(x² + 2x)3³/² = 0
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. (2x - 1)-¹0
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. (1 - 4x)-¹ ≥ 7
In Problems 91–96, find the real solutions of each equation. Use a calculator to express any solutions rounded to two decimal places. x - 4x¹/2 + 2 = 0
In Problems 91–96, find the real solutions of each equation. Use a calculator to express any solutions rounded to two decimal places. x2/3 + 4x¹/3 + 2 = 0
In Problems 91–96, find the real solutions of each equation. Use a calculator to express any solutions rounded to two decimal places. x² + √3x² - 3 = 0 x4
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. V V > 0 X
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 0 V 4 X V 2 3
In Problems 91–96, find the real solutions of each equation. Use a calculator to express any solutions rounded to two decimal places. x² + √√√₂x² - 2 = 0
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 0 < (3x + 6)-¹ < 3
In Problems 59–96, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 0 < (2x - 4)-¹ < 1 2
In Problems 91–96, find the real solutions of each equation. Use a calculator to express any solutions rounded to two decimal places. π(1 + 1)² = π +1+t
In Problems 91–96, find the real solutions of each equation. Use a calculator to express any solutions rounded to two decimal places. π(1 + r)² = 2 + (1 + r)
In Problems 97–106, find a and b. If -1 < x < 1, then a < x + 4 < b.
In Problems 97–106, find a and b. If 2 < x < 3, then a
In Problems 97–106, find a and b. If -3 < x < 2, then a < x - 6 < b.
In Problems 97–106, find a and b. If 0 < x < 4, then a < 2x + 3 < b.
In Problems 97–106, find a and b. If -4 < x < 0, then a < x < b. 2
In Problems 97–110, find the real solutions, if any, of each equation. 3x2 + 7x - 20 = 0
In Problems 97–110, find the real solutions, if any, of each equation. 2x2 - 13x + 21 = 0
In Problems 97–106, find a and b. If -3 < x < 3, then a < 1 - 2x < b.
In Problems 97–110, find the real solutions, if any, of each equation.5a3 - 45a = - 2a2 + 18
In Problems 97–110, find the real solutions, if any, of each equation.3z3 - 12z = - 5z2 + 20
In Problems 97–110, find the real solutions, if any, of each equation.4(w - 3) = w + 3
Explain to a friend how you would add two complex numbers and how you would multiply two complex numbers. Explain any differences between the two explanations.
Write a brief paragraph that compares the method used to rationalize the denominator of a radical expression and the method used to write the quotient of two complex numbers in standard form.

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