(4 - √43) / 3; (4 + √43) / 3
Пошаговое объяснение:
2x - 3x² + 8 = -1 - 6x
-3x² + 2x + 6x + 8 + 1 = 0
-3x² + 8x + 9 = 0
3x² - 8x - 9 = 0
D = 64 + 4 * 9 * 3 = 172
√D = √172 = 2√43
x₁ = (8 - 2√43) / 6 = (4 - √43) / 3
x₂ = (8 + 2√43) / 6 = (4 + √43) / 3
(4 - √43) / 3; (4 + √43) / 3
Пошаговое объяснение:
2x - 3x² + 8 = -1 - 6x
-3x² + 2x + 6x + 8 + 1 = 0
-3x² + 8x + 9 = 0
3x² - 8x - 9 = 0
D = 64 + 4 * 9 * 3 = 172
√D = √172 = 2√43
x₁ = (8 - 2√43) / 6 = (4 - √43) / 3
x₂ = (8 + 2√43) / 6 = (4 + √43) / 3