с) 2/3 + 4/х = х/12
ОДЗ: х ≠ 0
2/3 + 4/х = х/12 | * (12х), где х ≠ 0
2 * 4х + 4 * 12 = х²
х² - 8х - 48 = 0
D = (-8)² - 4 * 1 * (-48) = 64 + 192 = 256 = 16²
x1 = (-(-8) + 16)/(2 * 1) = (8 + 16)/2 = 24/2 = 12
x2 = (-(-8) - 16)/(2 * 1) = (8 - 16)/2 = (-8)/2 = -4
Ответ: -4; 12
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с) 2/3 + 4/х = х/12
ОДЗ: х ≠ 0
2/3 + 4/х = х/12 | * (12х), где х ≠ 0
2 * 4х + 4 * 12 = х²
х² - 8х - 48 = 0
D = (-8)² - 4 * 1 * (-48) = 64 + 192 = 256 = 16²
x1 = (-(-8) + 16)/(2 * 1) = (8 + 16)/2 = 24/2 = 12
x2 = (-(-8) - 16)/(2 * 1) = (8 - 16)/2 = (-8)/2 = -4
Ответ: -4; 12