Explanation Definition used: Lowest common denominator: The lowest common denominator or least common denominator (LCD) is the lowest common multiple of the denominators in a set of fractions. Calculation: The rational equation is 8 x 2 − 2 x + 4 = x x + 2 + 24 x 3 + 8 . The equation 8 x 2 − 2 x + 4 = x x + 2 + 24 x 3 + 8 can be rewrite as follows. 8 x 2 − 2 x + 4 = x x + 2 + 24 x 3 + 2 3 8 x 2 − 2 x + 4 = x x + 2 + 24 ( x + 2 ) ( x 2 − 2 x + 4 ) The LCD of the denominators ( x 2 − 2 x + 4 ) , ( x + 2 ) , ( x 3 + 8 ) is ( x + 2 ) ( x 2 − 2 x + 4 ) . Multiply the equation 8 x 2 − 2 x + 4 = x x + 2 + 24 x 3 + 8 with ( x + 2 ) ( x 2 − 2 x + 4 ) on both sides and solve for x . 8 x 2 − 2 x + 4 ( ( x + 2 ) ( x 2 − 2 x + 4 ) ) = x x + 2 ( x + 2 ) ( x 2 − 2 x + 4 ) + 24 x 3 + 8 ( ( x + 2 ) ( x 2 − 2 x + 4 ) ) 8 ( x + 2 ) = x ( x 2 − 2 x + 4 ) 8 x + 16 = x 3 − 2 x 2 + 4 x x 3 − 2 x 2 + 4 x − 8 x − 16 = 0 Simplify further as follows

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Chapter 3.4, Problem 25E

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To solve: The rational equation 8x2−2x+4=xx+2+24x3+8.

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Chapter 3.4, Problem 24E

Chapter 3.4, Problem 26E

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Chapter 3 Solutions

EBK ALGEBRA AND TRIGONOMETRY

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Simplify. Write answers in the form a + bi, where...Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Simplify. 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After declining...Ch. 3.2 - Prob. 109E Ch. 3.2 - Prob. 110E Ch. 3.2 - Prob. 111E Ch. 3.2 - Prob. 112E Ch. 3.2 - Prob. 113E Ch. 3.2 - Prob. 114E Ch. 3.2 - Prob. 115E Ch. 3.2 - Prob. 116E Ch. 3.2 - Prob. 117E Ch. 3.2 - Prob. 118E Ch. 3.2 - Prob. 119E Ch. 3.2 - Prob. 120E Ch. 3.2 - Prob. 121E Ch. 3.2 - Prob. 122E Ch. 3.2 - Prob. 123E Ch. 3.2 - Prob. 124E Ch. 3.2 - Prob. 125E Ch. 3.2 - Prob. 126E Ch. 3.2 - Prob. 127E Ch. 3.2 - Prob. 128E Ch. 3.2 - Prob. 129E Ch. 3.2 - Prob. 130E Ch. 3.2 - Prob. 131E Ch. 3.2 - Prob. 132E Ch. 3.2 - Prob. 133E Ch. 3.2 - Prob. 134E Ch. 3.2 - Prob. 135E Ch. 3.2 - Prob. 136E Ch. 3.2 - Prob. 137E Ch. 3.2 - Prob. 138E Ch. 3.2 - Prob. 139E Ch. 3.2 - Prob. 140E Ch. 3.2 - Prob. 141E Ch. 3.2 - Prob. 142E Ch. 3.2 - Prob. 143E Ch. 3.2 - Prob. 144E Ch. 3.2 - Prob. 145E Ch. 3.2 - Prob. 146E Ch. 3.2 - Prob. 147E Ch. 3.2 - Prob. 148E Ch. 3.3 - Prob. 1E Ch. 3.3 - Prob. 2E Ch. 3.3 - Prob. 3E Ch. 3.3 - Prob. 4E Ch. 3.3 - Prob. 5E Ch. 3.3 - Prob. 6E Ch. 3.3 - Prob. 7E Ch. 3.3 - Prob. 8E Ch. 3.3 - Prob. 9E Ch. 3.3 - Prob. 10E Ch. 3.3 - Prob. 11E Ch. 3.3 - Prob. 12E Ch. 3.3 - Prob. 13E Ch. 3.3 - Prob. 14E Ch. 3.3 - Prob. 15E Ch. 3.3 - Prob. 16E Ch. 3.3 - Prob. 17E Ch. 3.3 - Prob. 18E Ch. 3.3 - Prob. 19E Ch. 3.3 - Prob. 20E Ch. 3.3 - Prob. 21E Ch. 3.3 - Prob. 22E Ch. 3.3 - Prob. 23E Ch. 3.3 - Prob. 24E Ch. 3.3 - Prob. 25E Ch. 3.3 - Prob. 26E Ch. 3.3 - Prob. 27E Ch. 3.3 - Prob. 28E Ch. 3.3 - Prob. 29E Ch. 3.3 - Prob. 30E Ch. 3.3 - Prob. 31E Ch. 3.3 - Prob. 32E Ch. 3.3 - Prob. 33E Ch. 3.3 - Prob. 34E Ch. 3.3 - Prob. 35E Ch. 3.3 - Prob. 36E Ch. 3.3 - Prob. 37E Ch. 3.3 - Prob. 38E Ch. 3.3 - Prob. 39E Ch. 3.3 - Prob. 40E Ch. 3.3 - Prob. 41E Ch. 3.3 - Prob. 42E Ch. 3.3 - Prob. 43E Ch. 3.3 - Prob. 44E Ch. 3.3 - Prob. 45E Ch. 3.3 - Prob. 46E Ch. 3.3 - Prob. 47E Ch. 3.3 - Prob. 48E Ch. 3.3 - Prob. 49E Ch. 3.3 - Prob. 50E Ch. 3.3 - Prob. 51E Ch. 3.3 - Prob. 52E Ch. 3.3 - Maximizing Area. A berry farmer needs to separate...Ch. 3.3 - Norman Window. A Norman window is a rectangle with...Ch. 3.3 - Prob. 55E Ch. 3.3 - Prob. 56E Ch. 3.3 - Prob. 57E Ch. 3.3 - Prob. 58E Ch. 3.3 - Prob. 59E Ch. 3.3 - Prob. 60E Ch. 3.3 - Prob. 61E Ch. 3.3 - Prob. 62E Ch. 3.3 - Prob. 63E Ch. 3.3 - Prob. 64E Ch. 3.3 - Prob. 65E Ch. 3.4 - Solve. 1. Ch. 3.4 - Prob. 2E Ch. 3.4 - Prob. 3E Ch. 3.4 - Prob. 4E Ch. 3.4 - Prob. 5E Ch. 3.4 - Prob. 6E Ch. 3.4 - Prob. 7E Ch. 3.4 - Prob. 8E Ch. 3.4 - Prob. 9E Ch. 3.4 - Prob. 10E Ch. 3.4 - Prob. 11E Ch. 3.4 - Prob. 12E Ch. 3.4 - Solve. 13. Ch. 3.4 - Prob. 14E Ch. 3.4 - Prob. 15E Ch. 3.4 - Prob. 16E Ch. 3.4 - Prob. 17E Ch. 3.4 - Prob. 18E Ch. 3.4 - Prob. 19E Ch. 3.4 - Prob. 20E Ch. 3.4 - Solve. 21. Ch. 3.4 - Prob. 22E Ch. 3.4 - Prob. 23E Ch. 3.4 - Prob. 24E Ch. 3.4 - Prob. 25E Ch. 3.4 - Prob. 26E Ch. 3.4 - Solve. 27. Ch. 3.4 - Prob. 28E Ch. 3.4 - Prob. 29E Ch. 3.4 - Prob. 30E Ch. 3.4 - Prob. 31E Ch. 3.4 - Prob. 32E Ch. 3.4 - Prob. 33E Ch. 3.4 - Prob. 34E Ch. 3.4 - Prob. 35E Ch. 3.4 - Prob. 36E Ch. 3.4 - Prob. 37E Ch. 3.4 - Prob. 38E Ch. 3.4 - Prob. 39E Ch. 3.4 - Prob. 40E Ch. 3.4 - Prob. 41E Ch. 3.4 - Prob. 42E Ch. 3.4 - Solve. 43. Ch. 3.4 - Prob. 44E Ch. 3.4 - Prob. 45E Ch. 3.4 - Prob. 46E Ch. 3.4 - Prob. 47E Ch. 3.4 - Prob. 48E Ch. 3.4 - Prob. 49E Ch. 3.4 - Prob. 50E Ch. 3.4 - Prob. 51E Ch. 3.4 - Prob. 52E Ch. 3.4 - Solve. 53. Ch. 3.4 - Prob. 54E Ch. 3.4 - Prob. 55E Ch. 3.4 - Prob. 56E Ch. 3.4 - Prob. 57E Ch. 3.4 - Prob. 58E Ch. 3.4 - Prob. 59E Ch. 3.4 - Prob. 60E Ch. 3.4 - Solve. 61. Ch. 3.4 - Prob. 62E Ch. 3.4 - Solve. 63. Ch. 3.4 - Prob. 64E Ch. 3.4 - Prob. 65E Ch. 3.4 - Prob. 66E Ch. 3.4 - Prob. 67E Ch. 3.4 - Prob. 68E Ch. 3.4 - Solve. 69. Ch. 3.4 - Prob. 70E Ch. 3.4 - Solve. 71. Ch. 3.4 - Prob. 72E Ch. 3.4 - Prob. 73E Ch. 3.4 - Prob. 74E Ch. 3.4 - Prob. 75E Ch. 3.4 - Solve. 76. Ch. 3.4 - Prob. 77E Ch. 3.4 - Prob. 78E Ch. 3.4 - Prob. 79E Ch. 3.4 - Prob. 80E Ch. 3.4 - Prob. 81E Ch. 3.4 - Prob. 82E Ch. 3.4 - Prob. 83E Ch. 3.4 - Prob. 84E Ch. 3.4 - Solve. 85. , for R2 (A formula for resistance) Ch. 3.4 - Prob. 86E Ch. 3.4 - Prob. 87E Ch. 3.4 - Prob. 88E Ch. 3.4 - Prob. 89E Ch. 3.4 - Prob. 90E Ch. 3.4 - Prob. 91E Ch. 3.4 - Prob. 92E Ch. 3.4 - Prob. 93E Ch. 3.4 - Prob. 94E Ch. 3.4 - Prob. 95E Ch. 3.4 - Prob. 96E Ch. 3.4 - Solve. 97. Ch. 3.4 - Prob. 98E Ch. 3.4 - Prob. 99E Ch. 3.5 - Prob. 1E Ch. 3.5 - Prob. 2E Ch. 3.5 - Prob. 3E Ch. 3.5 - Prob. 4E Ch. 3.5 - Prob. 5E Ch. 3.5 - Prob. 6E Ch. 3.5 - Prob. 7E Ch. 3.5 - Prob. 8E Ch. 3.5 - Prob. 9E Ch. 3.5 - Prob. 10E Ch. 3.5 - Prob. 11E Ch. 3.5 - Prob. 12E Ch. 3.5 - Prob. 13E Ch. 3.5 - Prob. 14E Ch. 3.5 - Prob. 15E Ch. 3.5 - Prob. 16E Ch. 3.5 - Prob. 17E Ch. 3.5 - Prob. 18E Ch. 3.5 - Prob. 19E Ch. 3.5 - Prob. 20E Ch. 3.5 - Prob. 21E Ch. 3.5 - Prob. 22E Ch. 3.5 - Prob. 23E Ch. 3.5 - Prob. 24E Ch. 3.5 - Prob. 25E Ch. 3.5 - Prob. 26E Ch. 3.5 - Prob. 27E Ch. 3.5 - Prob. 28E Ch. 3.5 - Prob. 29E Ch. 3.5 - Prob. 30E Ch. 3.5 - Prob. 31E Ch. 3.5 - Prob. 32E Ch. 3.5 - Prob. 33E Ch. 3.5 - Prob. 34E Ch. 3.5 - Prob. 35E Ch. 3.5 - Prob. 36E Ch. 3.5 - Prob. 37E Ch. 3.5 - Prob. 38E Ch. 3.5 - Prob. 39E Ch. 3.5 - Prob. 40E Ch. 3.5 - Prob. 41E Ch. 3.5 - Prob. 42E Ch. 3.5 - Prob. 43E Ch. 3.5 - Prob. 44E Ch. 3.5 - Prob. 45E Ch. 3.5 - Prob. 46E Ch. 3.5 - Prob. 47E Ch. 3.5 - Prob. 48E Ch. 3.5 - Prob. 49E Ch. 3.5 - Prob. 50E Ch. 3.5 - Prob. 51E Ch. 3.5 - Prob. 52E Ch. 3.5 - Prob. 53E Ch. 3.5 - Prob. 54E Ch. 3.5 - Prob. 55E Ch. 3.5 - Prob. 56E Ch. 3.5 - Prob. 57E Ch. 3.5 - Prob. 58E Ch. 3.5 - Prob. 59E Ch. 3.5 - Prob. 60E Ch. 3.5 - Prob. 61E Ch. 3.5 - Prob. 62E Ch. 3.5 - Prob. 63E Ch. 3.5 - Prob. 64E Ch. 3.5 - Prob. 65E Ch. 3.5 - Prob. 66E Ch. 3.5 - Prob. 67E Ch. 3.5 - Prob. 68E Ch. 3.5 - Prob. 69E Ch. 3.5 - Prob. 70E Ch. 3.5 - Prob. 71E Ch. 3.5 - Prob. 72E Ch. 3.5 - Prob. 73E Ch. 3.5 - Prob. 74E Ch. 3.5 - Prob. 75E Ch. 3.5 - Prob. 76E Ch. 3.5 - Prob. 77E Ch. 3 - Prob. 1MC Ch. 3 - Prob. 2MC Ch. 3 - Prob. 3MC Ch. 3 - Prob. 4MC Ch. 3 - Prob. 5MC Ch. 3 - Prob. 6MC Ch. 3 - Prob. 7MC Ch. 3 - Prob. 8MC Ch. 3 - Prob. 9MC Ch. 3 - Prob. 10MC Ch. 3 - Prob. 11MC Ch. 3 - Prob. 12MC Ch. 3 - Prob. 13MC Ch. 3 - Prob. 14MC Ch. 3 - Prob. 15MC Ch. 3 - Prob. 16MC Ch. 3 - Prob. 17MC Ch. 3 - Prob. 18MC Ch. 3 - Prob. 19MC Ch. 3 - Prob. 20MC Ch. 3 - Prob. 21MC Ch. 3 - Prob. 22MC Ch. 3 - Prob. 23MC Ch. 3 - Prob. 24MC Ch. 3 - Prob. 25MC Ch. 3 - Prob. 26MC Ch. 3 - Prob. 27MC Ch. 3 - Prob. 28MC Ch. 3 - Prob. 29MC Ch. 3 - Prob. 30MC Ch. 3 - Prob. 1RE Ch. 3 - Prob. 2RE Ch. 3 - Prob. 3RE Ch. 3 - Prob. 4RE Ch. 3 - Prob. 5RE Ch. 3 - Prob. 6RE Ch. 3 - Prob. 7RE Ch. 3 - Prob. 8RE Ch. 3 - Prob. 9RE Ch. 3 - Prob. 10RE Ch. 3 - Prob. 11RE Ch. 3 - Prob. 12RE Ch. 3 - Prob. 13RE Ch. 3 - Prob. 14RE Ch. 3 - Prob. 15RE Ch. 3 - Prob. 16RE Ch. 3 - Prob. 17RE Ch. 3 - Prob. 18RE Ch. 3 - Prob. 19RE Ch. 3 - Prob. 20RE Ch. 3 - Prob. 21RE Ch. 3 - Prob. 22RE Ch. 3 - Prob. 23RE Ch. 3 - Prob. 24RE Ch. 3 - Prob. 25RE Ch. 3 - Prob. 26RE Ch. 3 - Prob. 27RE Ch. 3 - Prob. 28RE Ch. 3 - Prob. 29RE Ch. 3 - Prob. 30RE Ch. 3 - Prob. 31RE Ch. 3 - Prob. 32RE Ch. 3 - Prob. 33RE Ch. 3 - Prob. 34RE Ch. 3 - Prob. 35RE Ch. 3 - Prob. 36RE Ch. 3 - Prob. 37RE Ch. 3 - Prob. 38RE Ch. 3 - Prob. 39RE Ch. 3 - Prob. 40RE Ch. 3 - Prob. 41RE Ch. 3 - Prob. 42RE Ch. 3 - Prob. 43RE Ch. 3 - Prob. 44RE Ch. 3 - Prob. 45RE Ch. 3 - Prob. 46RE Ch. 3 - Prob. 47RE Ch. 3 - Prob. 48RE Ch. 3 - Prob. 49RE Ch. 3 - Prob. 50RE Ch. 3 - Prob. 51RE Ch. 3 - Prob. 52RE Ch. 3 - Prob. 53RE Ch. 3 - Prob. 54RE Ch. 3 - Prob. 55RE Ch. 3 - Prob. 56RE Ch. 3 - Prob. 57RE Ch. 3 - Prob. 58RE Ch. 3 - Prob. 59RE Ch. 3 - Prob. 60RE Ch. 3 - Prob. 61RE Ch. 3 - Prob. 62RE Ch. 3 - Prob. 63RE Ch. 3 - Prob. 1T Ch. 3 - Prob. 2T Ch. 3 - Prob. 3T Ch. 3 - Prob. 4T Ch. 3 - Prob. 5T Ch. 3 - Prob. 6T Ch. 3 - Prob. 7T Ch. 3 - Prob. 8T Ch. 3 - Prob. 9T Ch. 3 - Prob. 10T Ch. 3 - Prob. 11T Ch. 3 - Prob. 12T Ch. 3 - Prob. 13T Ch. 3 - Prob. 14T Ch. 3 - Prob. 15T Ch. 3 - Prob. 16T Ch. 3 - Prob. 17T Ch. 3 - Prob. 18T Ch. 3 - Prob. 19T Ch. 3 - Prob. 20T Ch. 3 - Prob. 21T Ch. 3 - Prob. 22T Ch. 3 - Prob. 23T Ch. 3 - Prob. 24T Ch. 3 - Prob. 25T Ch. 3 - Prob. 26T Ch. 3 - Prob. 27T Ch. 3 - Prob. 28T Ch. 3 - Prob. 29T Ch. 3 - Prob. 30T Ch. 3 - Prob. 31T Ch. 3 - Prob. 32T

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The rational equation 8 x 2 − 2 x + 4 = x x + 2 + 24 x 3 + 8 .

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To solve: The rational equation 8x2−2x+4=xx+2+24x3+8.

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Chapter 3 Solutions