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kissafors123
@kissafors123
July 2022
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А)(2x+3)(4x-3)-8x в квадрате = 2x-17
Б)5x-1/ 4 - x-2 / 3 = 10-x
Решите уравнение
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Dимасuk
Verified answer
А) (2x + 3)(4x - 3) - 8x² = 2x - 17
8x² - 6x + 12x - 9 - 8x² = 2x - 17
6x - 9 = 2x - 17
6x - 2x = -17 + 9
4x = -8
x = -2
б) (5x - 1)/4 - (x - 2)/3 = 10 - x
Умножим всё уравнение на 12:
3(5x - 1) - 4(x - 2) = 12(10 - x)
15x - 3 - 4x + 8 = 120 - 12x
11x + 5 = 120 - 12x
11x + 12x = 120 - 5
23x = 115
x = 5
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kissafors123
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Answers & Comments
Verified answer
А) (2x + 3)(4x - 3) - 8x² = 2x - 178x² - 6x + 12x - 9 - 8x² = 2x - 17
6x - 9 = 2x - 17
6x - 2x = -17 + 9
4x = -8
x = -2
б) (5x - 1)/4 - (x - 2)/3 = 10 - x
Умножим всё уравнение на 12:
3(5x - 1) - 4(x - 2) = 12(10 - x)
15x - 3 - 4x + 8 = 120 - 12x
11x + 5 = 120 - 12x
11x + 12x = 120 - 5
23x = 115
x = 5