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mathematics
college algebra
Questions and Answers of
College Algebra
Use the zero-factor property to solve each equation.12x2 + 19x + 5 = 0
Use the square root property to solve each equation.x2 = 81
Use the square root property to solve each equation.x2 = 225
Use the square root property to solve each equation.x2 = 17
Use the square root property to solve each equation. (x-4)² = 64
Use the square root property to solve each equation.x2 = 19
Use the square root property to solve each equation. (x + 2)² = 25
Use the square root property to solve each equation.x2 = 32
Use the square root property to solve each equation.x2 = 54
Use the square root property to solve each equation. (t + 8)² = 9
Use the square root property to solve each equation. (x + 3)² = 11
Use the square root property to solve each equation. (x-6)² = 49
Use the square root property to solve each equation.x2 - 20 = 0
Use the square root property to solve each equation.p2 - 50 = 0
Use the square root property to solve each equation.3x2 - 72 = 0
Use the square root property to solve each equation. (x-4)² = 3
Use the square root property to solve each equation.5z2 - 200 = 0
Use the square root property to solve each equation. (2x - 5)² = 10
Use the square root property to solve each equation. (t + 5)² = 48
Use the square root property to solve each equation.2x2 + 7 = 61
Use the square root property to solve each equation.3x2 + 8 = 80
Use the square root property to solve each equation.3x2 - 10 = 86
Use the square root property to solve each equation. (2 - 5t)² = 12
Use the square root property to solve each equation.4x2 - 7 = 65
Use the square root property to solve each equation. (4p + 1)² = 24
Use the square root property to solve each equation. (5t + 2)² = 12
Use the square root property to solve each equation. (1-4p)² = 24
Find the constant that must be added to make each expression a perfect square trinomial. Then factor the trinomial. x² + 6x + It factors as
Find the constant that must be added to make each expression a perfect square trinomial. Then factor the trinomial. x² + 14x + It factors as
Which one of the two equationsis more suitable for solving by the square root property? By completing the square? (2x + 1)2 = 5 and x² + 4x = 12
Find the constant that must be added to make each expression a perfect square trinomial. Then factor the trinomial. x² - 20x + It factors as
Find the constant that must be added to make each expression a perfect square trinomial. Then factor the trinomial. q² +9q + It factors as
Find the constant that must be added to make each expression a perfect square trinomial. Then factor the trinomial. p² - 12p + It factors as
Find the constant that must be added to make each expression a perfect square trinomial. Then factor the trinomial. 1² + 3t+ It factors as
According to the procedure described in this section, what would be the first step in solving 2x2 + 8x = 9 by completing the square?
Solve each equation by completing the square.x2 - 2x - 24 = 0
Solve each equation by completing the square.m2 - 4m - 32 = 0
Solve each equation by completing the square.x2 + 4x - 2 = 0
Solve each equation by completing the square.t2 + 2t - 1 = 0
Solve each equation by completing the square.x2 + 10x + 18 = 0
Solve each equation by completing the square.x2 + 8x + 11 = 0
Solve each equation by completing the square.3w2 - w = 24
Solve each equation by completing the square. - +| 3 N || I - 9
Solve each equation by completing the square.4z2 - z = 39
Solve each equation by completing the square. 8 p²-²p=-1 3P
Solve each equation by completing the square.x2 + 7x - 1 = 0
Solve each equation by completing the square.x2 + 13x - 3 = 0
Solve each equation by completing the square.2k2 + 5k - 2 = 0
Solve each equation. (x+3)² = -4
Solve each equation. (x - 5)² = -36
Solve each equation by completing the square.5x2 - 10x + 2 = 0
Solve each equation by completing the square.2x2 - 16x + 25 = 0
Solve each equation by completing the square.9x2 - 24x = -13
Solve each equation. (4m - 7)² = -27
Solve each equation by completing the square.25n2 - 20n = 1
Solve each equation. (r 5)² = -3
Solve each equation. (t + 6)² = -5
Solve each equation. (6k 1)² = -8 -
Solve each equation by completing the square.0.1x2 - 0.2x - 0.1 = 0
Solve each equation by completing the square.0.1p2 - 0.4p + 0.1 = 0
Solve each equation. x2 = -100
Solve each equation. x2 = -64
Solve each equation. x2 = -12
Solve each equation. x2 = -18
Solve for x. Assume that a and b represent positive real numbers. (5x-2b)2 = 3а
Solve each equation. m2 + 4m + 13 = 0
The Greeks had a method of completing the square geometrically in which they literally changed a figure into a square. For example, to complete the square for x2 + 6x, we begin with a square of side
Solve each equation. t2 + 6t + 10 = 0
Solve each equation.m2 + 6m + 12 = 0
Solve each equation. x2 + 10x + 27 = 0
The Greeks had a method of completing the square geometrically in which they literally changed a figure into a square. For example, to complete the square for x2 + 6x, we begin with a square of side
Solve each equation. 3r2 + 4r + 4 = 0
The Greeks had a method of completing the square geometrically in which they literally changed a figure into a square. For example, to complete the square for x2 + 6x, we begin with a square of side
Solve each equation. 4x2 + 5x + 5 = 0
The Greeks had a method of completing the square geometrically in which they literally changed a figure into a square. For example, to complete the square for x2 + 6x, we begin with a square of side
Solve each equation. -k2 - 5k - 10 = 0
Solve each equation.-x - 3x - 8 = 0
The Greeks had a method of completing the square geometrically in which they literally changed a figure into a square. For example, to complete the square for x2 + 6x, we begin with a square of side
Solve for x. Assume that a and b represent positive real numbers.x2 - b = 0
Solve for x. Assume that a and b represent positive real numbers.x2 = 4b
Solve for x. Assume that a and b represent positive real numbers.4x2 = b2 + 16
Solve for x. Assume that a and b represent positive real numbers.9x2 - 25a = 0
Solve for x. Assume that a and b represent positive real numbers.x2 - a2 - 36 = 0
The Greeks had a method of completing the square geometrically in which they literally changed a figure into a square. For example, to complete the square for x2 + 6x, we begin with a square of side
In Problems 19–54, solve each inequality algebraically.x3 > 1
In Problems 33–44, list the potential rational zeros of each polynomial function. Do not attempt to find the zeros. f(x) = 3x43x³ + x² = x + 1
In Problems 33–44, (a) Graph the rational function using transformations, (b) Use the final graph to find the domain and range, and (c) Use the final graph to list any vertical, horizontal, or
In Problems 7–50, follow Steps 1 through 7 on page 367 to graph each function. Steps for Graphing a Rational Function R STEP 1: Factor the numerator and denominator of R. Find the domain of the
In Problems 19–54, solve each inequality algebraically. 3(x²-2)
In Problems 33–44, list the potential rational zeros of each polynomial function. Do not attempt to find the zeros. f(x) = x5 - x4 + 2x2 + 3
In Problems 33–44, (a) Graph the rational function using transformations, (b) Use the final graph to find the domain and range, and (c) Use the final graph to list any vertical, horizontal, or
In Problems 7–50, follow Steps 1 through 7 on page 367 to graph each function. Steps for Graphing a Rational Function R STEP 1: Factor the numerator and denominator of R. Find the domain of the
In Problems 19–54, solve each inequality algebraically. (x-3) (x + 2) < x² + 3x + 5
In Problems 33–44, list the potential rational zeros of each polynomial function. Do not attempt to find the zeros. f(x) = x³ 2x² + 8x - 5
Simplify each expression. Leave answers in exponential form. Assume that all variables represent positive real numbers. 32/5x-1/4y2/5 3-8/5x7/4, 1/10
Simplify each expression. Leave answers in exponential form. Assume that all variables represent positive real numbers. -6-2/3 Az_x
In Problems 7–50, follow Steps 1 through 7 on page 367 to graph each function. Steps for Graphing a Rational Function R STEP 1: Factor the numerator and denominator of R. Find the domain of the
In Problems 33–44, (a) Graph the rational function using transformations, (b) Use the final graph to find the domain and range, (c) Use the final graph to list any vertical, horizontal, or
In Problems 33–44, (a) Graph the rational function using transformations, (b) Use the final graph to find the domain and range, and (c) Use the final graph to list any vertical, horizontal, or
In Problems 19–54, solve each inequality algebraically. x - 3 x + 1 > 0
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