Xueba, I beg you to go and escort him quickly!

At such a young age, he turned out to be the winner of the Mathematical Olympiad?

Swish swish!

All eyes focused on Xu Heng.

Xu Heng knew that this group of people were generally shocked and generally did not believe it.

But now it's a showdown.

He has nothing to hide!

It was also because otherwise the students in those two provinces would continue to be obsessed with the problems of the Mathematical Olympiad, so Xu Heng had no choice but to do so.

Standing up slowly, Xu Heng came to the blackboard and picked up the chalk in front of everyone's eyes.

唦實...

唦實...

He wrote the answer directly!

solution:

If the polynomial f(x) and g(x) are equal when x=-2 and -5, it will be recorded as f(x)=g(x), such as x2+7x+10=0. In n∈{ 0, 1, ..., 9}, the constant n is the polynomial Q(x) that meets the requirements.

When n=10, Q(x)=x3+6x2+3x satisfies the requirement, and it is abbreviated as (0, 3, 6, 1).

Generally, Q(x)=akxk+…+a0 is abbreviated as (a0, a1,…, ak).

Let the coefficients of Q(x)=(a0, a1,...,ak) ∈ {0, 1, 2,..., 9}, we prove that there is a polynomial P(x) with coefficients ∈ {0, 1, 2,..., 9}, and P(x)=Q(x)+1, the coefficient sum of P(x) is also equal to the coefficient sum of Q(x)+1.

to this end……

Xu Heng's writing speed is very slow, very slow, and the words and numbers are also very beautiful.

He uses regular script!

One stroke at a time, it feels like a work of art!

Very pleasing!

……

PS: Thank you [The Only One in Life] [Joe] for your support!

Updates to come! .

Chapter 154

Eloquently, Xu Heng wrote a lot.

Everyone enjoyed watching it, and forgot to read the specific content on the blackboard for a while.

What they looked at was not the solution to this problem, but Xu Heng's calligraphy!

When each word or number appears in front of their eyes, don't mention how comfortable it is.

On the blackboard:

The last step utilizes 10+7x+x2=0.

On the other hand, if Q(x)=(a0, a1,..., ak) coefficients ∈ {0, 1, 2,..., 9}, it can be proved that there is a polynomial R(x) with coefficients ∈ {0, 1, 2,...,9}, and R(x)=Q(x)-1.Just pay attention to Q(x)－l=Q(x)+(9, 7, 1) and use the above result about Q(x)+1 many times.

……

由Q(-2)-Q1(-2)=0得2｜b0．同理，5｜b0，所以10｜b0．但｜b0｜＜10，所以b0＝0．

于是bk(-2)k+…+b1(-2)=0，从而22｜2b1，2｜b1．同理5｜b1．所以b1=0．

By analogy, we can get b2=...=bk=0.Therefore, the qualified Q(x) is unique.

Done!

The large open blackboard is full of writing.

Xu Heng didn't say a word from the beginning to the end.

After finishing writing, he put down the chalk and went back.

Everyone is stunned!

There was no reaction for a while.

Gradually, someone murmured, "Did he really ask the question? Otherwise, how would he know the answer?"

Even the leaders of the education department discussed it with the professors of Jingyun University.

"Professor, look at this question..."

The professor couldn't take his eyes off, staring at it, "The wording is really good... Hiss! Sorry, I lost my mind for a while, let me take a closer look!"

Xu Heng's proof process was unanimously approved after everyone raised their hands.

Even the top professors in the country couldn't find any faults, how could this professor find out?

But just to be on the safe side.

The professor took pictures of the entire problem-solving process with his mobile phone.

"Ahem! I'll go out for a while!"

He went to his peers in the industry, his senior brother, to take a look at these questions!

When the question and the idea of ​​solving the problem were sent, the other party called directly.

"This is the final question of the Mathematical Olympiad. Where did you see it? Could it be that someone from Jingyun University solved this question?"

Professor, "Isn't this the three-province mathematics exchange meeting! One of the students in our province came up and wrote the answer."

The other party was startled, "What is this person's name?"

"Xu Heng!"

The other party let out a long sigh of relief, "That's okay, the questions are all written by him, and he answered them by himself, so what's the fuss?"

People come up with their own topic!

Answer it yourself!

No fuss!

It's strange if you can't write it!

But he is only a sophomore in high school!Just a teenage student!

"Brother, with this classmate Xu Heng...?"

The other party smiled, "You can't believe it, can you? I couldn't believe it when I first came to our problem group! But after getting along, this little guy has unlimited potential!"

"To be honest, if we hadn't stopped him, the questions he gave would have been even more difficult! And the ones that aren't beyond the outline!"

"You're not angry!"

"This Mathematical Olympiad competition is difficult for many people! But how do they know that we have won a lot of space for them!"

"Otherwise, No.1 and No.2 will really be failing, or even competing between [-] and [-] points!"

The professor of Jingyun University gasped as he listened.

After knowing everything, he came back and reported the situation to the leaders of the education department.

moment!

The leader looked at Xu Heng.

He was staring at Xu Heng!

His eyes were full of shock.

This meeting.

Even if there is a No. 3 in the other two provinces, and there is a group that is second, but what is it compared to the person who made the paper?

Also a sophomore!

They are all the same classmates!

But this gap is not a star and a half.

Looking at Xu Heng, the leader seemed to see that Xu Heng alone was in charge of killing thousands of troops.

The meaning of this exchange meeting disappeared from this moment.

Even the leaders of the education department couldn't help murmuring, "If I had known this would happen, what kind of communication meeting would I have to hold! I'm so hasty...' 々..."

The Olympiad competition is not led by the education department.

And when Zhu Tiesen invited Xu Heng, he went directly!

Except for the province, the city, and Yunshan High School, no one else knew about this matter.

Although it went through the Provincial Education Bureau, the Provincial Education Bureau and Zhu Tiesen verbally reached certain promises.

Of course they don't make a big deal out of it.

So about Xu Heng becoming a participant in the Mathematical Olympiad, the province just kept it a secret.

Even the highest education department does not know, let alone other provinces.

At this moment.

Everyone looked at Xu Heng.

All the doubts turned into shock!

What group second!

What personal third!

Even if it is the first in the group!

Even if the Olympiad champion is here!

In front of Xu Heng, it is not enough to measure!

The faces of the leading teachers in the other two provinces were even more ugly.

"Isn't he... talented in literature?"

"Have you made a lot of achievements in mathematics?"

Some teachers couldn't bear it and searched online.

The more you search, the more evil you feel.

"It's all about his literature! Especially his composition is very good! Why is mathematics so unexpected now?"

unbelievable!

I don't even want to believe it!

Originally, the exchange meeting was supposed to focus on the Mathematical Olympiad competition, but now, what the hell!

Everyone who has produced the papers is here!

Isn't it easy to come by?

Raise your head and face up to the above question again!

Everyone gasped and got goosebumps all over their bodies.

"Is that human being?"

Feng Hechuan was hit the hardest. The question he was most proud of was unexpectedly answered by someone directly.

And the person who originally belonged to this question turned out to be that person!

"Xu Heng...Xu Heng..."

So what about being sent to Peking University?

At this time, he was extremely humble.

At this moment, Feng Hechuan really wanted to find a mouse hole to slip into.