求下列各式的值
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(x-1)² - 2又1/4 = 0
解:(x-1)² = 9/4
x - 1 = ± 3/2
x1 = 5/2 x2 = -1/2
(2) 4(x²-2)² - 16 =0
(x²-2)² = 4
x² - 2 = ±2
当 x² - 2 = 2时, x² = 4 x = ±2
当 x² - 2 = -2时, x² = 0 x = 0
所以,原方程的解是: x1 = 0 , x2 = 2 , x3 = -2
解:(x-1)² = 9/4
x - 1 = ± 3/2
x1 = 5/2 x2 = -1/2
(2) 4(x²-2)² - 16 =0
(x²-2)² = 4
x² - 2 = ±2
当 x² - 2 = 2时, x² = 4 x = ±2
当 x² - 2 = -2时, x² = 0 x = 0
所以,原方程的解是: x1 = 0 , x2 = 2 , x3 = -2
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