2/3 x - 2/5   = 1/2 x - 1/3

2/3 x - 1/2 x = 2/5 - 1/3        ( chuyển vế đổi dấu )

( 2/3 - 1/2 ) x = 6/15 - 5/15

( 4/6 - 3/6 ) x = 1/15

       1/6       x = 1/15

                    x = 1/15 : 1/6

                    x = 1/15 x 6

                    x = 6/15

Lời giải:

a.

 \(\frac{10}{x+2}=\frac{60}{6(x+2)}=\frac{60(x-2)}{6(x+2)(x-2)}=\frac{60(x-2)}{6(x^2-4)}\)

\(\frac{5}{2x-4}=\frac{15(x+2)}{6(x-2)(x+2)}=\frac{15(x+2)}{6(x^2-4)}\)

\(\frac{1}{6-3x}=\frac{x+2}{3(2-x)}=\frac{2(x+2)^2}{6(2-x)(2+x)}=\frac{-2(x+2)^2}{6(x^2-4)}\)

b.

\(\frac{1}{x+2}=\frac{x(2-x)}{x(x+2)(2-x)}=\frac{x(2-x)}{x(4-x^2)}\)

\(\frac{8}{2x-x^2}=\frac{8(x+2)}{(x+2)x(2-x)}=\frac{8(x+2)}{x(4-x^2)}\)

c.

\(\frac{4x^2-3x+5}{x^3-1}\)

\(\frac{1-2x}{x^2+x+1}=\frac{(1-2x)(x-1)}{(x-1)(x^2+x+1)}=\frac{-2x^2+3x-1}{x^3-1}\)

\(-2=\frac{-2(x^3-1)}{x^3-1}\)

ta có:\(x^3+x^2+2x^2+2x+2x+2=0\)0

\(\Leftrightarrow x^2\left(x+1\right)+2x\left(x+1\right)+2\left(x+1\right)=0\)

\(\Leftrightarrow\left(x^2+2x+2\right)\left(x+1\right)=0\)

Do \(x^2+2x+2\ne0\)

\(\Rightarrow x+1=0\)

\(\Rightarrow x=-1\)

vậy phương trình trên có tập nghiệm là :S=(-1) 

0,5x - 2/3x = 5/12

=> x(0,5 - 2/3) = 5/12

=> -1/6x = 5/12

=> x = (5/12) / (-1/6)

=> x = -5/2 

??? đề bài đâu 

chào tv mới

caua, 3x+x^2-4x=12

         x^2-x-12=0

x^2-4x+3x-12=0

x(x-4)+3(x-4)=0

(x+3)(x-4)=0

x=-3 hoặc x=4

LƯU YS: từ chỗ mik biến đổi thành pt bậc 2 bn tính theo đenta cx đc, đây mik làm cách phân tích thành tích cho ngắn gọn

\(a,3x+x\left(x-4\right)=12\)

\(\Leftrightarrow3x+x^2-4x-12=0\)

\(\Leftrightarrow x^2-x-12=0\)

\(\Delta=b^2-4ac=\left(-1\right)^2-4.1.\left(-12\right)=49>0\)

Vậy phương trình có 2 nghiệm phân biệt:

\(\orbr{\begin{cases}x_1=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-\left(-1\right)+\sqrt{49}}{2.1}=4\\x_2=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-\left(-1\right)-\sqrt{49}}{2.1}=-3\end{cases}}\)

Gọi S là tập hợp các số tự nhiên lớn hơn 9

=>A={S};(S > 9)

Do đó ta có thể nói tập hợp A có S phần tử

có vô số phần tử

vô số phần tử

Đề trước đó: 

(x-7)(x+1)-(x-3)^2=(3x-5)(3x+5)-(3x+1)^2+(x-2)^2-x

<=>x^2+x-7x-7-x^2+6x-9=9x^2-25-9x^2-6x-1+x^2-4x+4-x

<=>x^2-11x-6=0

<=>x^2-2x. 11/2 + 121/4-145/4=0

<=>(x-11/2)^2=145/4

<=>|x-11/2|=căn(145)/2

<=>x=[11+-căn(145)]/2

1. Nam (never / eat) _____hasn't eaten__________ pizza before.
2. He (study) _______has studied_________ English for two hours every day.
3. Khoa (like) _____likes__________ omelette very much. It’s his favorite food.
4. My grandmother hates (eat) ____eating___________ noodles. She prefers rice.
5. Thanh (study) ________is studying_______ Physics at the moment.
6. I can’t sleep because the children (play) _______ play________ the drum in the living room.
7. I enjoy (fish) ___fishing____________ because it (be) ______is____________ relaxing.
8. I think, in the future people (not play) ____won't play____ individual games.
9. We find (arrange) ______arranging_________ flowers interesting because it (help) ______helps_________ us relax.
10. I (not collect) _______won't collect________ dolls when I grow up.
11. ______Have_________ Lan (do) _____done__________ her project yet?
12. ________Have_______ you ever (eat) ______eaten_________ Sushi?
13. We (go) _____went__________ to that village to do volunteer work last week.
14. Tom (call) ________called_______ his boss yesterday.
15. She often (go) ____Does she often___________ to the market with her mother once a week?
16. We (visit) ___are going to visit____________ Ha Noi next month.
17. Lan and her father (visit) _______visited________ the Temple of Literature 2 weeks ago.
18. They (not start) _______haven't started________ the project yet.
19. I (have read) _____have read__________ that novel by Hemingway several times.
20. I think in the future, people (explore) ______will explore_________ the nature in stead of watching T.V

\(3x+5=2.\left(x-\frac{1}{4}\right)\)

\(\Rightarrow3x+5=2.x-2.\frac{1}{4}\)

\(\Rightarrow3x+5=2x-\frac{1}{2}\)

\(\Rightarrow5+\frac{1}{2}=2x-3x\)

\(\Rightarrow\frac{11}{2}=-x\)

\(\Rightarrow x=-\frac{11}{2}\)

\(3x+5=2\left(x-\frac{1}{4}\right)\)

\(3x+5=2x-\frac{1}{2}\)

\(\Leftrightarrow3x-2x=-\frac{1}{2}-5\)

\(\Leftrightarrow x=-\frac{11}{2}\)

Vậy x = -11/2

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