Take a plane to the Ming Dynasty

Chapter 135

After seeing this question, Zhu Changyuan smiled.

It was another question about a quadratic equation in one variable, but the difference between this question and the previous one was that, in addition to the quadratic equation in one variable, this question also had a twist.

Although using modern mathematics to formulate this problem into a system of equations and then solve it, the difficulty is almost the same as the previous problem, but in ancient times, the difficulty of this problem was several times greater than the previous problem.

The reason is that the ancients did not understand and did not have a general formula for finding roots. They used very few methods to solve problems, and the most common method 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 will substitute it: 1*13, 2*14, 3*15... There will always be a day when the result reaches 24*36.So this question is simple because the data is simple.

However, this person who bought pears and fruits also had a twist, and almost cut off the possibility of using the substitution method.

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

Liu Yunzhou was also convinced that Zhu Changyuan couldn't figure it out.If the first question can be answered with a little thought, then this question, even if you meet tomorrow, or the first day of the next month, you may not be able to meet it.If there is no foundation in mathematics.

"This problem is a problem in the "Siyuan Yujian" written by Zhu Shijie, a master of numerology in the former dynasty. I don't know how many heroes and heroes, even many great Confucians who have learned from ancient and modern times, can't figure it out. I advise Zhu Don't waste your time thinking about it, my lord."

Zhu Changyuan naturally ignored him.

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

自然，还是用XY代替梨果，得出一个方程组：11X/9+4Y/7=999;X+Y=1000
After the equations are listed, the following things are simple. First, multiply the left and right by the common divisor 63, then substitute and shift terms, and finally list a quadratic equation in one variable.

After listing the quadratic equation in one variable, apply the general root-finding formula and select the appropriate value to get 657 pears and 343 fruits, and the money spent is 657*11/9=803 and 196 respectively.

After solving the problem, he put it on the small table beside him and stretched his hands behind his head.

Solving the problem is still a lot of brains.

Zhu Changyuan was still not relieved, checked the calculated results again, and then nodded.

Seeing Zhu Changyuan writing and drawing on the paper, Liu Yunzhou couldn't help being startled. He had a bad premonition, and couldn't help but curiously moved towards Zhu Changyuan. He saw a paper full of ghost symbols, such as X, Y, and those. The Arabic numeral number 1234567890, I don't know anyone.

"Huh." Liu Yunzhou secretly breathed a sigh of relief, seeing Zhu Changyuan wrote so many things in black and white, he couldn't help picking them up and mockingly said: "I said Master Zhu, everyone said that you fought against Huang Taiji's 13 troops in the Daling River. It is the power of ghosts and gods, I didn't believe it before, but now, I seem to believe it a little bit."

Nani?

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

What he said was decisive, and there was no room for maneuver.

"What, ghost painting talisman?"

Ma Qing also came over, seeing the rice paper beside Zhu Changyuan full of modern numeral symbols, she couldn't help laughing, pointing to the problem on the wall and said: "It's ridiculous, Master Zhu, Master Zhu, this problem is not If you don’t understand how it’s solved, I can teach you, do you know what chicken and rabbit are in the same cage?”

Facing Ma Qing's ridicule, Zhu Changyuan just responded calmly, looking at him like an idiot, feeling speechless for a while.I thought that even if Nima wanted to attack Lao Tzu, there was no need to act 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 people came in through the back door of the Ministry of Civil Affairs.

Under the system of the Ministry of Industry, there is also a camp under the Department of Cleaning Up Officials, which is a department responsible for specific implementation. For example, if it is necessary to dig soil, of course it is impossible for the head of the Department of Cleaning Up to dig the soil, but hand it over to the camp A few people, and then there are specific implementations of them looking for workers and peasants in the past.

There are five people in the camp, one is the principal, two are the deputy, and two are the prime minister.

So it was a young man with a rather treacherous appearance, in his 20s, who ran up to Liu Yunzhou in one breath, and said flatteringly, "What are the adults busy with?"

Liu Yunzhou snorted and said, "This is Mr. Zhu, the master of Xinlai. It's a joke to rely on the power of ghosts and gods to solve these problems on our wall."

"It's more than a joke!" Ma Qing sneered and mocked, "It's embarrassing to say it!"

His name is Liu Gongming, and he has great eyesight. When he saw several people pushing Zhu Changyuan away at the same time, he couldn't help but push the wall with all his might, but he couldn't make it too obvious, so he just said slightly mockingly: "Yo, it turns out It’s Lord Zhu, my subordinate Liu Gongming. But what is the effect of your ghost drawing talisman, my lord, I wonder if the gods can show you clearly?”

Zhu Changyuan almost said "Nima", secretly thinking that the officials of the Ming Dynasty had such virtues?
But there was a disdainful smile on his face, and said: "It's okay, I just got instructions from the gods, and I have already solved the answer."

"Huh?" Liu Yunzhou was surprised for a moment.

Ma Qing was taken aback.

Xia Congliang was also taken aback.

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

Liu Yunzhou looked a little serious, pointed to the first scroll and asked, he wanted to verify for himself, to see if what Zhu Changyuan said was consistent with the answer in Jiuzhang Shushu.

"Uh, what are you talking about?" Zhu Changyuan looked down at the rice paper, and said, "I'll see what the gods say." He pretended to look at it for a while, and said, "Oh, it's 36 steps long and 24 steps wide, I don't know right?"

"Ah?" Liu Yunzhou was stunned again. Did he really figure it out, or did he just get the number right?

As for the instructions from the gods, he just ignored them, so that's all nonsense, okay?

You were right, yes, he must be right.

Liu Yunzhou was lucky enough to tell him that it was impossible for Zhu Changyuan to solve it. He could only say that this guy's brain was faster than ordinary people. "Then, tell me the answer?"

Unreconciled, Ma Qing pointed to another scroll.

Liguo's algorithm is not only for those great Confucian scholars who have read poetry and books, but even those who have intensively studied mathematics can figure it out for a long time. He doesn't believe that Zhu Changyuan can calculate it in such a short period of time.

"Here, wait for me to see."

Zhu Changyuan looked at the rice paper with a resemblance, looking very seriously.

For some reason, seeing Zhu Changyuan's action, Liu Yunzhou suddenly felt terrified.

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(End of this chapter)