(x-1)²=25 x=多少?
2个回答
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解:解方程, 此方程的解为x = 6或x = -4
(x - 1)² = 25
(x - 1)(x - 1)= 25
x² - x - x + 1 = 25
x² - 2x = 25 - 1
x² - 2x = 24
x² - 2x - 24 = 0
(x - 6)(x + 4)= 0
x - 6 = 0或x + 4 = 0
x = 0 + 6或x = 0 - 4
∴x = 6或x = -4
答:此方程的解为x = 6或x = -4
(x - 1)² = 25
(x - 1)(x - 1)= 25
x² - x - x + 1 = 25
x² - 2x = 25 - 1
x² - 2x = 24
x² - 2x - 24 = 0
(x - 6)(x + 4)= 0
x - 6 = 0或x + 4 = 0
x = 0 + 6或x = 0 - 4
∴x = 6或x = -4
答:此方程的解为x = 6或x = -4
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