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| 送交者: 车五进二 2019月11月01日06:41:40 于 [灵机一动] 发送悄悄话 |
| 回 答: 趣味的数学-133 由 gugeren 于 2019-10-29 14:07:51 |
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Substitute x^2 = y/A into the second equation, we have y^2 - (4+1/A)y + 3 = 0. Since the (4 + 1/A)^2 > 4 * 3 for any A > 0, therefore there are always two positive roots for y, which means there are 2 roots of x for each y, hence a total of 4 pairs of roots. So the intersection points between two graphs is always 4. |
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