readx;??? After seeing this question, Zhu Changyuan smiled. Pen, fun, pavilion www. biquge。 info

It is another problem of a quadratic equation, but the difference between this problem and the previous one is that in addition to the quadratic equation, this problem also has a bend.

Although the difficulty of using modern mathematics to list this problem as a system of equations and then solve it is almost no different from the previous problem, in ancient times, the difficulty of this problem was several times greater than that of the previous problem.

The reason is that the ancient people did not understand and did not have a general root-seeking formula, and they used very few methods to solve the problem, and the most was the substitution method.

For example, in the previous question, didn't you say that the length is 12 steps more than the width, then I substituted it: 1*13, 2*14, 3*15....... there will always be a day when 24*36 will get the result. So this question is simple, because I think the data is simple.

However, this person who bought pears and fruits also spared a bend, almost cutting off the possibility of using the substitution method.

So, in terms of difficulty, it is naturally much more difficult than the first one.

Liu Yunzhou was also sure that Zhu Changyuan couldn't figure it out. If the first question can be scratched right with a little thought, then this question, even if you encounter tomorrow or the first day of the next month, you may not be able to touch it. If you don't have a foundation in arithmetic.

"This problem is a question in the "Four Yuan Jade Jian" written by Zhu Shijie, a master of mathematics in the previous dynasty, I don't know how many heroes and heroes are stumped, even many Confucians who have studied the past and the present, and they can't figure it out, I advise Lord Zhu not to waste his efforts."

Zhu Changyuan naturally ignored him.

Pick up a piece of paper and a small white cloud brush, and quickly list the formulas on the paper.

Naturally, we still use xy instead of pear fruit to get a system of equations: 11x/9+4y/7=999; x+y=1000

After the system of equations is listed, the rest of the matter is simple, first multiply the left and right by the common divisor 63 at the same time, and then substitute and shift the terms, and finally list a one-dimensional quadratic equation.

After the quadratic equations are listed, the general root finding formula is applied to select the appropriate values. 657 pears were obtained. There are 343 fruits, and then the money spent is 657 * 11/9 = 803 Wen, and 196 Wen respectively.

After solving the problem, put it on the small table next to it. He stretched his back with his hands behind his head.

It's still a lot of brains to solve.

Zhu Changyuan was still not at ease. After checking the calculated results again, he nodded.

Liu Yunzhou couldn't help but be shocked when he saw Zhu Changyuan writing and drawing on paper. I had a bad premonition, and I couldn't help but get curious in front of Zhu Changyuan. Seeing a paper full of ghost drawings, what x, y and those 1234567890 Arabic numeral numbers, Nima didn't know any of them.

"Whew." Liu Yunzhou secretly breathed a sigh of relief. Seeing Zhu Changyuan writing so many things in black and white, he couldn't help but pick it up and ridicule: "I said Master Zhu." It is said that you relied on the power of ghosts and gods to resist the 130,000 army of Huang Taiji in Daling River, I didn't believe it before, but now. I seem to be a little convinced. ”

Nani?

Before Zhu Changyuan understood what Liu Yunzhou meant, he heard him say again: "However, Lord Zhu, the power of ghosts and gods may really help you win the Emperor Taiji, but it can't help you solve these two problems." ”

The words are categorical, and there is no room for maneuver.

"What, ghost drawings?"

Ma Qing also came over, and when he saw the rice paper full of modern number symbols next to Zhu Changyuan, he couldn't help laughing, pointed to the problem on the wall and said: "It's ridiculous, Lord Zhu, Lord Zhu, this problem is not solved like this, if you don't understand, I can teach you, do you know what it means to be a chicken and a rabbit in the same cage?" ”

In the face of Ma Qing's ridicule, Zhu Changyuan just responded calmly, looking at him like a fool, and was speechless for a while. The heart said that even if Nima wants to fight Lao Tzu, he doesn't need to perform so exaggeratedly, right?

Of course, Ma Qing's performance was not in vain, not only attracted Xia Congliang, who had been sitting still next to him, but also attracted five other people.

Five men came in through the back door of the Camp Clearance Division.

For example, if you want to dig the soil, of course, it is impossible for the head of the Cleaning Department to go over to dig the soil, but hand it over to a few people in the camp, and then they will look for workers and peasants to carry it out.

There were five people in the camp, one officer, two deputies, and two officers.

So it was a treacherous-looking young man, in his twenties, who ran in front of Liu Yunzhou in one breath and said flatteringly: "What are the adults busy with?" ”

Liu Yunzhou snorted and said, "This is Lord Zhu, the main thing in his heart, and it is really a joke that he wants to rely on the power of ghosts and gods to uncover these problems on our wall." ”

"It's not just a joke!" Ma Qing also sneered and mocked, "It's a shame to say it!" ”

The name is Liu Gongming, who has great eyesight, and when he saw several people crowding out Zhu Changyuan at the same time, he couldn't help but have a sense of pushing the wall with his strength, but it was not easy to show it too obviously, so he just said with a little mockery: "Yo, it turned out to be Lord Zhu, the subordinate Liu Gongming." But my lord, what is the effect of your ghost talisman, I don't know if the gods can show it to adults? ”

Zhu Changyuan's sentence of "Nima" almost came out, and secretly said that the officials of the Ming Dynasty are so virtuous?

With a disdainful smile on his face, he said, "It's okay, I just got the instructions of the gods, and I have already solved the answer." ”

"Huh?" Liu Yunzhou was stunned unexpectedly.

Ma Qing was stunned.

Xia Congliang was also stunned.

"Then tell me first, how much is this?"

Liu Yunzhou's face was a little serious, and he pointed to the first scroll and asked, he wanted to verify it in person to see if what Zhu Changyuan said was consistent with the answer in the nine chapters of arithmetic.

"Uh, that's what you're talking about?" Zhu Changyuan looked down at the rice paper and said, "I'll see what the gods say." He looked at it for a while and said, "Oh, it's thirty-six steps long and twenty-four steps wide, I don't know, right?" ”

"Huh?" Liu Yunzhou was stunned again, did he really calculate it, or did he just get the numbers right?

As for saying that it was the instructions of the gods, he ignored them directly, so it was all nonsense, okay?

Meng is right, yes, he must be Meng right.

Liu Yunzhou's remaining trace of luck told him that Zhu Changyuan couldn't really solve it, and could only say that this guy's brain was running faster than ordinary people, "Then, tell me about this answer?" ”

Ma Qing, who was unwilling, pointed to another painting scroll.

Liguo's algorithm, not only those Confucians who read poetry and books, but even those of them who studied mathematics had to work out it for a long time, and he didn't believe that Zhu Changyuan would calculate it in such a short time.

"Well, wait for me to see."

Zhu Changyuan looked at the rice paper in a similar way, and looked very seriously.

I don't know why, seeing Zhu Changyuan's action, Liu Yunzhou suddenly felt a sense of shock. (To be continued.) )

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