Ответы и объяснения

2014-01-17T13:41:35+00:00
2014-01-17T13:43:39+00:00
2(x-1)(x-1)+1=x
2(x² - 2x + 1) + 1 = x
2x² - 4x + 2 + 1 - x = 0
2x² - 5x + 3 = 0
a=2, b = -5, c = 3
D = b² - 4ac = 25 - 24 = 1
x_{1} = \frac{-b + \sqrt{D} }{2a} = \frac{ 5+1}{4} = 3/2
x_{2} = \frac{-b - \sqrt{D} }{2a} = \frac{ 5 -1 }{4} = 1
Ответ: x= 3/2, x=1