1.
上述解题过程中,错在第【②】步,原因是【平方开方后有正负两个值】.请写出正确的解答过程.
移项,得4(2x - 1 )² = 25(x+1)² ①
直接开平方得2(2x - 1) = ±5(x+1) ②
∴ x = -7 或 x= -1/3 ③
2.
(1)
y² - 2y - 399 = 0
(y - 1)² - 400 = 0
(y - 1)² = 400
y - 1 = ±20
y = 21或 y = -19
(2)
(1/4) x² + 3 = 6x
x² + 12 = 24x
x² - 24x + 12 = 0
(x - 12)² - 144 + 12 = 0
x - 12 = ± √132
x = 12 ± 2√33