Super Xueba: Start With A Low Control Score!

Answer the question.

"Find all positive integers x, y, so that x^2+3y and y^2+3x are perfect square numbers."

Is this problem difficult?

At first glance.

It seems quite simple.

But that's just at first glance.

Bai Yingying thinks that her IQ is not low, she also studies hard, and her subjects are well balanced, so she has no shortcomings.

Can……

Even so.

When she saw this question, a small star immediately appeared in front of her, almost fainting.

Qin Yumo was right.

If there is no very meticulous logical thinking and analysis ability, there is no possibility of solving it at all.

therefore……

This 20-point big question.

Bai Yingying naturally got duck eggs.

But Jiang Nan got full marks?

so……

While feeling refreshed inside.

Bai Yingying also stared at Jiang Nan, a trace of curiosity flashed in her eyes, wanting to see how Jiang Nan solved it.

"how?"

"Don't you want to teach me?"

"Do you hate me? Or are you afraid of teaching me that I will surpass you again in the next exam?"

On the other side, Qin Yumo couldn't help but anger when he saw Jiang Nan sluggishly in his seat, and there was no movement for a long time.

"Come on!"

"Destined to be unavoidable."

Hearing that, Jiang Nan smiled helplessly. Since he can't avoid it, he has to talk about it!

"Actually, this question is very easy!"

"What's the meaning?"

Qin Yumo and Bai Yingying asked at the same time.

"It's nothing more than three situations."

Jiang Nan took a pen and made three assumptions on the draft paper.

"First, if x=y."

"Then x^2+3x is a perfect square number."

"Because x^2<x^2+3xy, then x^2<x^2+3y<x^2+3x<x^2+4x+4=(x+2)^2."

"So x2+3y is a perfect square number."

"Because x^2+3y=(x+1)^2, we get 3y=2x+1, which shows that y is an odd number."

"Suppose y=2k+1, then x=3k+1, k is a positive integer, and y^2+3x=4k^2+4k+1+9k+3=4^2+13k+4 is a perfect square number, And (2k+2)^2=4k^2+8k+4<4k^2+13k+4<4k^2+16k+16=(2k+4)^2."

"..."

"So y^2+3x=4k^2+13k+4=(2k+3)^2, we get k=5, so we get x=16 and y=11."

"If xy, we can get x=11 and y=16."

"In summary……"

"(X,y)=(1,1),(11,16),(16,11)."

"..."

Jiang Nan's thinking is very clear.

And the explanation is simple and profound, and the level is clear, but it is done in one go without any pause.

A few breaths.

He worked out the final answer.

This speed...

Not unpleasant.

Actually...

Not only Qin Yumo and Bai Yingying were listening carefully.

There are many children's shoes around, also craned their necks, squinted their eyes and ears, watching this scene.

Such as Su Yu, Zhang Hao and Tang Tiantian, as well as more than a dozen people such as Huang Sihai and Hu Dajun.

Before, they flared their teeth and claws at Jiang Nan, mocking and mocking, although they were suppressed by Jiang Nan's aura.

but……

This does not mean they will be convinced.

So when Qin Yumo asked Jiang Nan for the last problem with the test paper, their faces were full of joking.

from their perspective……

Jiang Nan cheated on the exam.

Even if it won first place.

But in essence, it is still a scumbag.

Therefore, Qin Yumo's shameless act of asking will definitely make Jiang Nan ugly, and his true identity is undoubtedly revealed.

But the result...

But Jiang Nan easily figured out the answer?

quiet!

Deathly silence.

There is one around, all of them are dumbfounded.

Just because...

Jiang Nan explained too quickly.

Not to mention the unlearned thorns like Huang Sihai and Hu Dajun, even Su Yu, Zhang Hao, Tang Tiantian and other academic tyrants can't hear them, and their heads can't turn their heads.

but……

They have one thing for sure.

Jiang Nan's answer should be correct.

after all……

Although they did not understand.

But someone understood.

Squad leader Qin Yumo's face was suddenly enlightened, and Bai Yingying followed closely behind.

Obviously...

Both of them understand?

This is indeed the case.

When Jiang Nan made the three assumptions, both Qin Yumo and Bai Yingying knew how to do it.

Qin Yumo originally had some doubts about Jiang Nan's strength, but there was also a tentative element in this consultation.

But now...

She was completely convinced by Jiang Nan.

"Jiang Nan, thank you!"

"You are really good at math, especially your logical thinking and analysis skills, very strong!"

Qin Yu gave a compliment to Jiang Nan, then holding the paper, excitedly ran back to his seat to calculate.

At the same time.

Hear Qin Yumo's words.

There was a hustle and bustle in the classroom.

"this……"

"How can it be?"

"Could it be that Jiang Nan is really a schoolmaster?"

"Or the kind that is stronger than everyone in the class, including Qin Yumo, but in the past was hiding strength?"

"Perhaps we really blamed him!"

"Nan Shen is worthy of being a Southern God!"

"66666..."

"..."

At this point, many people who originally doubted Jiang Nan immediately changed their attitudes and became admired.

certainly!

Some people are exceptions.

For example, Su Yu, Zhang Hao and Tang Tiantian, as well as Huang Sihai and Hu Dajun, are not willing to admit that Jiang Nan is excellent.

The jealousy increased without diminishing, and his complexion was even harder to see, as if he had eaten shit.

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