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Ex13A 8, 10, 28, 30

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Ex13A 8, 10, 28, 30 find the real root [IMG]http://i293.photobucket.com/albums/mm67/zaza520/0005-7.jpg[/IMG] [IMG]http://i293.photobucket.com/albums/mm67/zaza520/0006-4.jpg[/IMG] find the real root (要有平方根) [IMG]http://i293.photobucket.com/albums/mm67/zaza520/0007-4.jpg[/IMG]

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最佳解答:

(8) 3x4 + x3 = 2x2 3x4 + x3 - 2x2 = 0 x2 (3x2 + x - 2) = 0 x2 (3x - 1) (x + 1) = 0 x = 0 or 1/3 or -1 (10) √x = 2x - 1 2(√x)2 - √x - 1 = 0 (2√x + 1) (√x - 1) = 0 √x = -1/2 (rejected) or 1 x = 1 (28) (2x)2 - 5(2x) + 4 = 0 (2x - 4) (2x - 1) = 0 2x = 4 or 1 x = 2 or 0 (30) (x - 2/x)2 + (x - 2/x) - 2 = 0 [(x - 2/x) + 2] [(x - 2/x) - 1] = 0 x - 2/x + 2 = 0 or x - 2/x - 1 = 0 x2 + 2x - 2 = 0 or x2 - x - 2 = 0 (x + 1)2 - 3 = 0 or (x - 2)(x + 1) = 0 x = -1 + √3 or - 1- √3 or 2 or -1

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