Given that the sum of two cubes of the equation x & # 178; - 3x + k = 0 is 0, then K= What's wrong with my interpretation? Please give me some advice According to the meaning of the title, we can know: X1 cubic + x2 cubic = 0 So there are two conclusions: ① X1 = x2 = 0, ② X1 + x2 = 0, that is, they are opposite numbers Test 2: according to Weida's theorem, - B / a = 3 ≠ 0, so it doesn't hold Then it's only one, So the two are equal b²-4ac=0 ∴9-4k=0 ∴k=9/4

Given that the sum of two cubes of the equation x & # 178; - 3x + k = 0 is 0, then K= What's wrong with my interpretation? Please give me some advice According to the meaning of the title, we can know: X1 cubic + x2 cubic = 0 So there are two conclusions: ① X1 = x2 = 0, ② X1 + x2 = 0, that is, they are opposite numbers Test 2: according to Weida's theorem, - B / a = 3 ≠ 0, so it doesn't hold Then it's only one, So the two are equal b²-4ac=0 ∴9-4k=0 ∴k=9/4

X1 ^ 3 + x2 ^ 3 = 0 can not deduce the two conclusions you said, because there may be imaginary roots
x1^3+x2^3=(x1+x2)(x1^2+x1x2+x2^2)=(x1+x2)[(x1+x2)^2-x1x2]=3[3^2-k]=0--> k=9

We know the equation about X: the sum of the squares of the two real roots of X + (2k + 1) x + K-2 = 0 is 10 less than 3 times of the product of the two real roots, so we can find the value of K

x^2+(2k+1)x+k^2-2=0
x1+x2=-2k-1 x1x2=k^2-2
x1^2+x2^2=3x1x2-10
(x1+x2)^2=5x1x2-10
(2k+1)^2=5k^2-20
4k^2+4k+1=5k^2-20
k^2-4k-21=0
(k-7)(k+3)=0
So k = 7 or K = - 3

If a is a solution of the equation 2x & # 178; - x-3 = 0, then the value of 6a-3a is?

It is known that the two real roots of the equation x & # 178; + (A-1) x + 1 = 0 about X are α, β?

(a-1)²-4≥0
(a-1+2)(a-1-2)≥0
(a+1)(a-3)≥0
A ≤ - 1 or a ≥ 3

Find the value range of the sum of two squares of the equation x & # 178; - MX + 2m-1 = 0

First, B & # 178; - 4ac ≥ 0, that is, M & # 178; - 4 (2m-1) ≥ 0, the solution is m ≥ 4 + 2 √ 3 or m ≤ 4-2 √ 3
According to Weida's theorem, X1 + x2 = m.x1 * x2 = 2m-1
(x1)²+(x2)²= （x1+x2）²-2x1x2
= m²- 4m+2
= （m-2）²-2
When m = 4-2 √ 3, there is a minimum value of 14-8 √ 3
The range is [14-8 √ 3, + ∞)

If the equation MX2 + (2m + 1) x + M = 0 of X has two unequal real roots, then the value range of M is ()
A. M ＞ - 14b. M ＜ - 14C. M ＞ 4D. M ＞ - 14 and m ≠ 0

The equation MX2 + (2m + 1) x + M = 0 about X has two unequal real roots. The equation is a quadratic equation with one variable, and △ = (2m + 1) 2-4m · m ＞ 0 and m ≠ 0, 4m2 + 1 + 4m-4m2 ＞ 0, 4m ＞ - 1, M ＞ - 14 and m ≠ 0

If the equation x & # 178; + (M + 2) x + 5 = 0 has only negative roots, then the value range of M is 0
If the equation x & # 178; + (M + 2) x + 5 = 0 has only negative roots, then the value range of M?

x1x2=5>0
There are two negative roots
△ = (M + 2) ^ 2-20 ≥ 0 and X1 + x2 = - (M + 2)

English translation
Our oath: success favors those who struggle
If you dare to challenge, the world will give in
Help each other in the same boat and move forward
Raise the sail of ideal, reach the other side of success
Now that I have chosen to be far away, I only care about wind and rain
Read healthy and beneficial books, and be a person who works hard
The Swan soars high and flies at one stone's throw
Uprightness is better than knowledge
If you want to stand in front, if you want to fight for the first class!
Create the best class, be the best yourself
Unite, cherish the time, work hard and make progress!
It is not difficult to have ambition, but it is not easy to have determination
Hope of life, comfort of teachers, pride of school
Raise the prestige of our class, strengthen the soul of our class, work together to create good results
Dare to think, dare to do, dare to succeed!
Cultivate a strong style of study and build a noble and healthy atmosphere
2616825. It seems that some words are not translated correctly. Can you revise them!

Our oath:Show appreciation for person of struggling successfully.The brave gallbladder challenge ,world general association give in.Help each other when in the same condition ,split a wave forward.Spread sweep of ideal ,support the other shore of success.Since having chosen distance, be absorbed in trials and hardship traveling at double speed.Read healthy book of having benefit ,make person of rising in great vigor.Large swan Gao Xiang,flies a long distance in an attempt upright make progress,file leader, needs to argue first-rate arguing right away hotter than seeking knowledge asking a station to stand right away!Establish best class ,compose self unites ,cherishes time best,go all out ,promising!Aspiration is not difficult to extremely difficult ,had; Thousand ten thousand easy determination easy not to have, is not easy to give birth to that hope ,relief of teacher ,proud of school.Throw up and scatter my Banwei strengthening my shift soul working together in harmony establishing good achievement together having the courage to think about ,be bold to practise ,dare to succeed!Foster deep style of study tree great spirit

English translation
Help to translate "I have been" into English!

I always be here!

English translation
Happiness is the most important thing, but also the most difficult thing in the world!

Being happy is important, but it is also the most difficult thing in the world!