1) Общий знаменатель 12
4х/12 + х/12 = 45/12
4х + х = 45
5х = 45
х = 9
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2) 2 - 3(х +2) = 5 - 2х
2 - 3х - 6 = 5 - 2х
- 3х + 2х = 5 + 6 - 2
- х = 9
х = - 9
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3) 10х^2 + 5x = 0
5x (2x + 1) = 0
5x = 0
x1 = 0
2x + 1 = 0
2x = - 1
x2 = - 0,5
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4) 4 - 36x^2 = 0
36x^2 = 4
x^2 = 1/9
x1 = 1/3
x2 = - 1/3
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5) 2x^2 + 3x - 5 = 0
D = 9 - 4*(-5)*2 = 9 + 40 = 49; √D = 7
x1 = (-3 + 7)/ 4 = 1
x2 = (-3 - 7)/4 = - 2,5
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6) 12 - x^2 = 11
x^2 = 12 - 11
x^2 = 1
x1 = 1
x2 = - 1
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7) (10x - 4)(3x + 2) = 0
30x^2 - 12x + 20x - 8 = 0
30x^2 + 8x - 8 = 0
15x^2 + 4x - 4 = 0
D = 16 - 4*(-4)*15 = 16 + 240 = 256; √D = 16
x1 = (-4 + 16)/30 = 12/30 = 6/15
x2 = (- 4 - 16)/30 = - 2/3
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8) 7(x-3) = 2(x + 1)
7x - 21 = 2x + 2
7x - 2x = 21 + 2
5x = 23
x = 4,6