Cho phương tình: \(3x^2+4\left(m-1\right)x+m^2-4m+1=0\), m là tham số. Tìm m để phương trình có hai nghiệm x1, x2 thỏa mãn \(|x1-x2|=2\).

AI GIẢI NHANH TRC 6H45 VỚI Ạ !!!!

Cho Parabol (P): \(y=x^2\) và đường thẳng (d): \(y=2x+3\) .

a) Chứng minh rằng (d) luôn cắt (P) tại hai điểm phân biệt A, B và xác định tọa độ của A và B.

b) Xác định điểm C có hoành độ dương thuộc cung nhỏ OB của Parabol (P) sao cho diện tích tam giác ABC lớn nhất.

XIN MỌI NGƯỜI GIẢI TRƯỚC 6H45 !!!!

Cho biểu thức: \(P=\left(\sqrt{x}-1\right)\left(\frac{1-x\sqrt{x}}{1-\sqrt{x}}+\sqrt{x}\right)\left(\frac{1-\sqrt{x}}{1-x}\right)^2\)với \(x\ge0,x\ne1\)

a) Rút gọn P.

b) Tính giá trị của P khi: \(x=9+4\sqrt{2}\)

c) Tìm số chính phương x sao cho \(\frac{2}{P}\) là số nguyên.

AI GIẢI GIÙM VỚI Ạ !!!!

Chọn từ sai trong mỗi câu rồi sửa lại :

1. The Festival was marked by cultural programs which promoted mutually understanding.

a) The Fesival b) was marked c) which d) mutually

2. The child who was injured in the accident is taken to hospital.

a) who b) was injured c) is taken d) to hospital

3. Although the city is a bit disappointed, she is soon used to it.

a) although b) a bit c) disappointed d) used to it

4. She asked me how many students were there in my class.

a) asked b) how many c) were there d) in my class

5. I couldn't call you last night because I came home so lately.

a) call you b) because c) came d) so lately

6. If yesterday were Sunday, we'd have gone to the cinema with friends.

a) were b) we'd c) gone d) with friends

7. Did you see the film showing on TV last night ?

a) Did b) the film c) showing d) on TV

AI GIẢI VỚI Ạ!!!!

Chọn câu trả lời đúng nhất:

1: My brother is good at mathematics. He wants _____ a higher course of math.

a) to work b) to go c) to attend d) to visit

2: If you listen to music, you can't _______ your homework.

a) read about b) arrange for c) specialize in d) concentrate on

3: We stayed home because Mai wasn't very keen _____ going out _______ the rain.

a) for / under b) about / with c) for / when d) on / in

4: The bus came after i _____ there for about twenty minutes.

a) standing b) stand c) was standing d) had been standing

5: Ted has been worried all week and he's________ worried.

a) even b) still c) yet d) any more

6: The police ______ Ted's bicycle.

a) had been finding b) had been found c) had found d) have been finding

7: They ______ all day swimming and sunbathing at the beach.

a) did b) used c) spent d) occupied

8: It began to rain when we ______ home.

a) have ridden b) rode c) ride d) were riding

9: The hotel room ________ over a beautiful garden.

a) viewed out b) faced up c) opended up d) looked on

10: He works ______ engineer.

a) like b) as an c) as d) the same as

11: My favourite ______ at school was history.

a) topic b) class c) theme d) subject

12: Since 190 Tom ________ in London, and he is still there now.

a) was working b) worked c) have worked d) has been working

13: I'd get _______ if i were you because it looks dreadful.

a) this room painted b) to paint this room c) painted this room d) this painted room

14: There's always a grat deal of ______ on the first day at school.

a) confusing b) confused c) confuse d) confusion

15: She was so nervous that she was ______.

a) disturbing b) arguing c) threatening d) shaking.

AI GIẢI NHANH VỚI Ạ !!!!!

Gọi đồ thị hàm số \(y=x^2\)là parabol (P), đồ thị hàm số \(y=\left(m+4\right)x-2m-5\)là đường thẳng (d).

a) Tìm giá trị m để (d) cắt (P) tại hai điểm phân biệt.

b) Khi (d) cắt (P) tại hai điểm phân biệt A và B có hoành độ lần lượt là x1, x2. Tìm các giá trị của m sao cho \(x1^3+x2^3=0\)

AI GIẢI NHANH VỚI Ạ!!!!

a) Giải hệ phương trình: \(\hept{\begin{cases}\frac{3}{\sqrt{x-4}}+\frac{4}{y+2}=7\\\frac{5}{\sqrt{x-4}}-\frac{1}{y+2}=4\end{cases};}\)

b) Tìm hai số u và v thỏa mãn: \(u^2+v^2=65\)và \(uv=-28\)

AI GIẢI NHANH VỚI Ạ!!!!