Приведенные квадратные уравнения a = 1
x² - 21x + 68 = 0
Дискриминант (b = -21, c = 68)
D = b² - 4c = (-21)² - 4(68) = 441 - 272 = 169
√D = 13
x = (-b ± √D) / 2
x = (21 ± 13) / 2
x1 = (21 + 13) / 2 = 17
x2 = (21 - 13) / 2 = 4
x1 + x2 = 21
x1 * x2 = 68
x² - 8x - 48 = 0
Дискриминант (b = -8, c = -48)
D = b² - 4c = (-8)² - 4(-48) = 64 + 192 = 256
√D = 16
x = (-b ± √D) / 2
x = (8 ± 16) / 2
x1 = (8 + 16) / 2 = 12
x2 = (8 - 16) / 2 = -4
x1 + x2 = 8
x1 * x2 = -48