Super Scholar: Start with a low regulatory score!

Chapter 9 Solve problems easily, it turns out that he is really a master!
Answer questions.

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

Is this topic difficult?
At first glance.

It seems quite simple.

But that's only at first glance.

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

Can……

even so.

When she saw this question, a small star appeared in front of her eyes, and she almost fainted.

Qin Yumo was right.

If you don't have very meticulous logical thinking and analysis ability, there is no possibility of solving it at all.

therefore……

This is a 20-point question.

Bai Yingying naturally got duck eggs.

But Jiangnan got full marks?

and so……

While the heart is crisp and refreshing.

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

"how?"

"Don't you want to teach me?"

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

On the other side, Qin Yumo saw that Jiangnan was sluggishly sitting on the seat, and hadn't moved for a long time, so he couldn't help but uttered angrily.

"Come on!"

"It is destined to be impossible to hide."

Hearing this, Jiang Nan smiled helplessly, since he couldn't avoid it, he had no choice but to talk about it!

"Actually, this question is very easy!"

"What do you mean?"

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."

“因x^2＜x^2+3x＜x^2+4x+4=(x+2)^2，所以x^2+3x=(x+1)^2。”

"So x=y=1."

"..."

“其次，若x＞y，则x^2＜x^2+3y＜x^2+3x＜x^2+4x+4=(x+2)^2。”

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

“因为x^2+3y=(x+1)^2，得3y=2x+1，由此可知y是奇数。”

“设y=2k+1，则x=3k+1，k是正整数，又y^2+3x=4k^2+4k+1+9k+3=4^2+13k+4是完全平方数，且(2k+2)^2=4k^2+8k+4＜4k^2+13k+4＜4k^2+16k+16=(2k+4)^2。”

"..."

“所以y^2+3x=4k^2+13k+4=(2k+3)^2，得k=5，从而求得x=16，y=11。”

"If x<y, x=11 and y=16 can be found in the same case as x>y."

"In summary……"

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

"..."

Jiangnan's thinking is very clear.

And the explanations are simple and simple, not to mention the layers, but also in one go, without any pause.

A few breaths of effort.

He calculated the final answer.

This speed...

Not unpleasant.

Actually...

Not only Qin Yumo and Bai Yingying were listening carefully.

There are many children's shoes in the surrounding area, all stretching their necks, squinting their eyes, and pricking up their ears, watching this scene.

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

Before, they barked their teeth and claws at Jiangnan, mocking and sarcastic, although they were suppressed by Jiangnan's aura.

but……

That doesn't mean they'll be convinced.

So when Qin Yumo asked Jiang Nan for advice on the last difficult question in the test paper, their faces were full of banter.

from their perspective……

The Jiangnan exam is cheating.

Even if you get first.

But in essence, he is still a scumbag.

Therefore, Qin Yumo's act of shameless questioning will definitely make Jiangnan make a big fool of himself, revealing his true colors without a doubt.

The result can be...

Jiang Nan easily solved the answer?

quiet!
Deathly silence.

There is one around, and they are all dumbfounded.

just because...

Jiang Nan explained too quickly.

Not to mention Huang Sihai and Hu Dajun who are ignorant and ignorant, even Su Yu, Zhang Hao, Tang Tiantian and other top academics are all in a fog, and they can't turn their heads.

but……

They have one thing for sure.

Jiang Nan's solution should be correct.

after all……

Although they did not understand.

But someone got it.

Squad leader Qin Yumo's face revealed a look of enlightenment, and Bai Yingying followed closely behind.

Apparently...

Both of them understand?
This is indeed the case.

When Jiangnan made three assumptions, Qin Yumo and Bai Yingying both knew what to do.

Qin Yumo originally had some doubts about Jiangnan's strength, so asking for advice this time was partly tentative.

But now...

She is completely convinced of Jiangnan.

"Jiangnan, thank you!"

"You are really good at mathematics, especially your ability of logical thinking and analysis is very strong!"

Qin Yumo praised Jiang Nan, then ran back to his seat excitedly holding the paper and doing calculations.

At the same time.

Hearing Qin Yumo's words.

There was an uproar in the classroom immediately.

"This……"

"how is this possible?"

"Could it be that Jiangnan is really a top student?"

"Or the one who is stronger than everyone in the class, including Qin Yumo, and was hiding his strength in the past?"

"Maybe we're really wrong about him!"

"Nan Shen deserves to be Nan Shen!"

"66666..."

"..."

At this point, many people who originally doubted Jiangnan immediately changed their attitudes and became admirable.

of course!

There are some exceptions.

For example, Su Yu, Zhang Hao and Tang Tiantian, as well as Huang Sihai and Hu Dajun, are unwilling to admit that Jiangnan is excellent.

That jealousy didn't decrease but increased, and his complexion became even more ugly, as if he had eaten shit.

(End of this chapter)