Chapter 21 Agreements

ax^2+bx+c=0.

a≠0, divide the two sides of the formula by a.

Then move the item to get ......

Yi Cheng rolled up his sleeves, raised his hand, and completed the proof of the Vedic theorem of the one-dimensional quadratic equation in less than two minutes.

After that, it came to the second level.

The second level progresses from quadratic equations in junior high school to tertiary equations in high school.

ax^3+bx^2+cx+d…… Suppose x1, x2, x3 are the 3 roots of the equation (double roots are allowed)

Test Proof:

x1+x2+x3=-b/a

x1x2+x2x3+x1x3=c/a

x1x2x3=-d/a

Well, that's a complicated question.

If you only have the basic knowledge of high school, it is actually quite a headache to solve.

Most high school textbooks do not teach Vedic theorem and related solutions to 3rd order equations, and in general, only factorization is used.

But this bit of difficulty is not difficult for him.

This problem does not need to be factored, but only needs to achieve the unity of the form on both sides of the equation and the contrast coefficient.

It took about ten minutes for Yi Cheng to solve the problem perfectly.

He licked his lips.

There are already two questions at the bottom, and the next question obviously enters the main meal.

Yi Cheng only felt that he was still unsatisfied, ate some appetizers, and began to have some expectations for the big meal.

Here's how the feast is written:

Let X1, X2,......,xn be the unary n-order equation f(x)=x^n+a1·x^(n-1)+...... n roots of an=0 (double roots are allowed).

Test Proof:

x1+x2…… xn=-a1;

x1x2+x2x3+x1x3…… xixk=a2; (i is less than k, k is a positive integer from 1 to n)

x1x2…… xn=(-1)^n·an

"This is the application of Vedic theorem to nth order equations," Lan Bing remembers the topic, "It's quite an orthodox proof problem, and solving it will open the door to Galois and Abel's group theory in the future." ”

"What?" Yi Cheng didn't understand a word.

"I don't know much about it, at least not yet." Lan Bing explained, "Although I've been studying college courses on my own recently, I haven't reached the group theory section yet. ”

Yi Cheng was shocked.

The goddess actually teaches herself math?!

It's going against the sky.

Although he didn't understand or understand Galois and Abel, this did not prevent Yi Cheng from proving the subject.

He could vaguely see Athena, in the last house high in the sky, beckoning to him.

One of the most important principles to be applied here is -

Form invariance under root arrangement permutation.

That is what the first two warm-up questions inspired him.

So Yi Cheng wielded this big sword, cut through the chaos with a quick knife, and cut through thorns and thorns all the way, and won the final victory.

He came to the twelfth house, married, phew, and rescued Athena.

On the last line of the A6 paper it reads:

[If you have completed the complete proof of Vedic theorem, then you can continue to study the Lagrangian presolutions.]

This will help you better understand the algebra component of high school and lay a good foundation for you to study group theory in college.

Due to the limited space of the A6 paper, I will explain this part to you tomorrow. 】

Yi Cheng and Lan Bing were still unsatisfied, still immersed in the joy of solving the problem just now.

"That's the beauty of mathematics." Yi Cheng sighed, "I can start with a very simple thing and lead to a complex and profound theory." ”

"Of course." Lan Bing laughed, "You must know that at the beginning, everything we started from scratch, and 0 was the easiest. But 0 is the most difficult and complex thing in the whole of mathematics. And we're still working hard to get to zero. ”

There is a saying that mathematics is philosophy in the end.

It's breathtakingly beautiful.

……

"Would you like to come to our school's celebration the day after tomorrow?" Lan Bing lowered his head and said shyly, "I can play the violin at the school celebration, if you can come, maybe ......"

She burst out laughing.

What kind of stupidity is this?

Invite a person who doesn't exist in a dream.

She was so bored and lonely that she was a little too lonely.

The expression on Yi Cheng's face gradually exaggerated.

"Huh? The goddess still has a school?! ”

"Of course." Lan Bing blinked.

Good.

Now he knew that the goddess had a school, and she had to play the violin for the school celebration.

What kind of thing did this system bring to him?

"Isn't your school all God?" Yi Cheng's eyes widened, "How am I going to get to your school?" ”

Do you want to die of grams?

It's not a good word to send you to God.

Moreover, he still doesn't know whether it is God or Satan who is going to see him, or if it is Nyorai, Jizo Bodhisattva, Jade Emperor, Zhong Kui, and Earth Mother...... Bao Zheng is also possible.

"Giggle......

The goddess was amused by his statement.

It turns out that this stupid boy really thinks I'm a god.

She coughed and said, "The god said, I love them that love me; and those that seek me early shall find me.”

Yi Cheng understood a rough idea.

"What does seek mean?"

"Guess." Lan Bing laughed slyly.

Whatever it is, a word that can be placed between a pronoun and a pronoun should be a verb.

"Ok,I will seek you,whatever [seek] is," Yi Cheng said seriously.

Lan Bing was slightly stunned.

I don't know why, tears are pouring out of my face.

Smack.

A crystal tear hit the table, stirring up a piece of light.

"Sorry, it seems that seek is not a good word......"

Yi Cheng didn't expect that the goddess would be provoked to cry because of his words.

He is the person who can't see women crying, as long as girls cry, he is very panicked.

"No, I accept it."

Lan Bing took a deep breath.

“Deal。”

She stubbornly raised her head, holding back her tears as she stretched out her little finger to Yi Cheng.

Yi Cheng was slightly stunned.

“Deal。” He also held out a little finger and gently touched hers.