解方程 49x的平方-25=0 4x的平方=8x (3x-2)的平方=(1-5x)的平方 49x的平方-25=0 4x的平方=8x
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49 x ² - 25 = 0
解:(7 x + 5)(7 x - 5)= 0
7 x + 5 = 0 7 x - 5 = 0
7 x1 = - 5 7 x2 = 5
x1 = - 5 / 7 x2 = 5 / 7
4 x ² = 8 x
解:4 x ² - 8 x = 0
4(x ² - 2 x)= 0
x ² - 2 x = 0
x(x - 2)= 0
x = 0 x - 2 = 0
x1 = 0 x2 = 2
(3 x - 2)² = (1 - 5 x)²
解:(3 x - 2)² - (1 - 5 x)² = 0
【(3 x - 2)+(1 - 5 x)】【(3 x - 2)-(1 - 5 x)】= 0
(3 x - 2 + 1 - 5 x)(3 x - 2 - 1 + 5 x)= 0
(- 2 x - 1)(8 x - 3)= 0
- 2 x - 1 = 0 8 x - 3 = 0
- 2 x1 = 1 8 x2 = 3
x1 = - 1 / 2 x2 = 3 / 8
解:(7 x + 5)(7 x - 5)= 0
7 x + 5 = 0 7 x - 5 = 0
7 x1 = - 5 7 x2 = 5
x1 = - 5 / 7 x2 = 5 / 7
4 x ² = 8 x
解:4 x ² - 8 x = 0
4(x ² - 2 x)= 0
x ² - 2 x = 0
x(x - 2)= 0
x = 0 x - 2 = 0
x1 = 0 x2 = 2
(3 x - 2)² = (1 - 5 x)²
解:(3 x - 2)² - (1 - 5 x)² = 0
【(3 x - 2)+(1 - 5 x)】【(3 x - 2)-(1 - 5 x)】= 0
(3 x - 2 + 1 - 5 x)(3 x - 2 - 1 + 5 x)= 0
(- 2 x - 1)(8 x - 3)= 0
- 2 x - 1 = 0 8 x - 3 = 0
- 2 x1 = 1 8 x2 = 3
x1 = - 1 / 2 x2 = 3 / 8
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