1. 4 1 3
4x² + x + 3 = 0 ;
-2 -3 1
-2x² - 3x + 1 = 0 ;
1 0 -24
x² - 24 = 0 ;
3 -5 0
3x² - 5x = 0 ;
5 0 -8
5x² - 8 = 0
7 0 0
7x² = 0
2. a) x² - 36 = 0
x² = 36
x = +-6 ;
б) 2x² - 4 = 0
2x² = 4
x² = 2
x = +-√2 ;
в) x² + 49 = 0
x² = -49
x∉R ; (нет решения)
а)x² - 3x = 0
x(x-3) = 0
x1 = 0
x2 = 3 ;
б) -5x² + 20x = 0
-x(5x - 20) = 0
x2 = 4 ;
в) x² + 3,5x = 0
x(x + 3,5) = 0
x2 = -3,5 ;
а) 7 - 2x² = 7 + 0,5x²
-2x² - 0,5x² = 7 - 7
-2,5x² = 0
x = 0 ;
б) 2x² - 3x = 2x
2x² - 3x - 2x = 0
2x² - 5x = 0
x(2x - 5) = 0
x2 = 2,5 ;
в) 2x(x-3) = x²
2x² - 6x = x²
2x² - x² - 6x = 0
x² - 6x = 0
x(x - 6) = 0
x2 = 6 ;
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Answers & Comments
1. 4 1 3
4x² + x + 3 = 0 ;
-2 -3 1
-2x² - 3x + 1 = 0 ;
1 0 -24
x² - 24 = 0 ;
3 -5 0
3x² - 5x = 0 ;
5 0 -8
5x² - 8 = 0
7 0 0
7x² = 0
2. a) x² - 36 = 0
x² = 36
x = +-6 ;
б) 2x² - 4 = 0
2x² = 4
x² = 2
x = +-√2 ;
в) x² + 49 = 0
x² = -49
x∉R ; (нет решения)
а)x² - 3x = 0
x(x-3) = 0
x1 = 0
x2 = 3 ;
б) -5x² + 20x = 0
-x(5x - 20) = 0
x1 = 0
x2 = 4 ;
в) x² + 3,5x = 0
x(x + 3,5) = 0
x1 = 0
x2 = -3,5 ;
а) 7 - 2x² = 7 + 0,5x²
-2x² - 0,5x² = 7 - 7
-2,5x² = 0
x = 0 ;
б) 2x² - 3x = 2x
2x² - 3x - 2x = 0
2x² - 5x = 0
x(2x - 5) = 0
x1 = 0
x2 = 2,5 ;
в) 2x(x-3) = x²
2x² - 6x = x²
2x² - x² - 6x = 0
x² - 6x = 0
x(x - 6) = 0
x1 = 0
x2 = 6 ;