Ответ:
№5
1) 1 - 2y + y² = (1 - y)²
2) 9m² - 6m + 1 = (3m - 1)²
3) 64m² - 112mn + 49n² = (8m - 7n)²
4) x²y² + 2xyz + z² = (xy + z)²
№6
1) x² - 4x + 4 = 0
(x - 2)² = 0
x - 2 = 0
x = 2
2) 9x² + 1 = 0
(3x - 1)(3x + 1) = 0
3x - 1 = 0 3x + 1 = 0
3x = 1 3x = -1
x = 1/3 x = -1/3
3) 49x² = 14x - 1
49x² - 14x + 1 = 0
(7x - 1)² = 0
7x - 1 = 0
7x = 1
x = 1/7
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Answers & Comments
Ответ:
№5
1) 1 - 2y + y² = (1 - y)²
2) 9m² - 6m + 1 = (3m - 1)²
3) 64m² - 112mn + 49n² = (8m - 7n)²
4) x²y² + 2xyz + z² = (xy + z)²
№6
1) x² - 4x + 4 = 0
(x - 2)² = 0
x - 2 = 0
x = 2
2) 9x² + 1 = 0
(3x - 1)(3x + 1) = 0
3x - 1 = 0 3x + 1 = 0
3x = 1 3x = -1
x = 1/3 x = -1/3
3) 49x² = 14x - 1
49x² - 14x + 1 = 0
(7x - 1)² = 0
7x - 1 = 0
7x = 1
x = 1/7