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數學知識交流---解方程
發問:
解方程 (2x+3)(3x-7)(x-6)= -104。請詳細說明答案。
解：(2x+3)(3x-7)(x-6) = -104 (6x2-5x-21)(x-6) = -104 6x3 - 41x2 + 9x + 230 = 0 6x3 + 12x2 - 53x2 - 106x + 115x + 230 = 0 6x2 (x+2) - 53x (x+2) + 115 (x+2) = 0 (6x2 - 53x + 115)(x + 2) = 0 (x - 5)(6x - 23)(x + 2) = 0 所以x1 = 5, x2 = 23/6, x3 = -2.
其他解答:
(2x+3)(3x-7)(x-6)=104 (6x2-5x-21)(x-6)=104 6x3-412+9x+126=104 6x3-412+9x+22=0 x?=-0.6083546876907349 (16 sig. fig.) x?=0.9248657822608948 (16 sig. fig.) x?=6.516822338104248 (16 sig. fig.)63D0B758E2D502CC
數學知識交流---解方程
發問:
解方程 (2x+3)(3x-7)(x-6)= -104。請詳細說明答案。
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最佳解答:解：(2x+3)(3x-7)(x-6) = -104 (6x2-5x-21)(x-6) = -104 6x3 - 41x2 + 9x + 230 = 0 6x3 + 12x2 - 53x2 - 106x + 115x + 230 = 0 6x2 (x+2) - 53x (x+2) + 115 (x+2) = 0 (6x2 - 53x + 115)(x + 2) = 0 (x - 5)(6x - 23)(x + 2) = 0 所以x1 = 5, x2 = 23/6, x3 = -2.
其他解答:
(2x+3)(3x-7)(x-6)=104 (6x2-5x-21)(x-6)=104 6x3-412+9x+126=104 6x3-412+9x+22=0 x?=-0.6083546876907349 (16 sig. fig.) x?=0.9248657822608948 (16 sig. fig.) x?=6.516822338104248 (16 sig. fig.)63D0B758E2D502CC
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