Violympic toán 8
Các câu hỏi tương tự
giải pt
1,frac{1}{x-1}+frac{2x^2-5}{x^3-1}frac{4}{x^2+x+1}
2,frac{x+4}{2x^2-5x+2}+frac{x+1}{2x^2-7x+3}frac{2x+5}{2x^2-7x+3}
3,frac{x+1}{x-1}-frac{x-1}{x+1}3xleft(1-frac{x-1}{x+1}right)
4,frac{2x}{x-1}+frac{4}{x^2+2x-3}frac{2x-5}{x+3}
5,frac{1}{x-1}-frac{7}{x+2}frac{3}{x^2+x-2}
6,frac{x+3}{x-4}+frac{x-1}{x-2}frac{2}{6x-8-x^2}
7,frac{1}{x-1}-frac{7}{x+2}frac{3}{1-x^2}
Đọc tiếp
giải pt
1,\(\frac{1}{x-1}+\frac{2x^2-5}{x^3-1}=\frac{4}{x^2+x+1}\)
2,\(\frac{x+4}{2x^2-5x+2}+\frac{x+1}{2x^2-7x+3}=\frac{2x+5}{2x^2-7x+3}\)
3,\(\frac{x+1}{x-1}-\frac{x-1}{x+1}=3x\left(1-\frac{x-1}{x+1}\right)\)
4,\(\frac{2x}{x-1}+\frac{4}{x^2+2x-3=}=\frac{2x-5}{x+3}\)
5,\(\frac{1}{x-1}-\frac{7}{x+2}=\frac{3}{x^2+x-2}\)
6,\(\frac{x+3}{x-4}+\frac{x-1}{x-2}=\frac{2}{6x-8-x^2}\)
7,\(\frac{1}{x-1}-\frac{7}{x+2}=\frac{3}{1-x^2}\)
18 tháng 4 2020 lúc 21:36
a) \(\frac{5x-3}{50x^2-2}+\frac{5x-9}{12x-60x^2}+\frac{1}{12x}=\frac{8x-5}{80x^2+16x}\)
b) \(\frac{1}{x\left(x+3\right)}+\frac{1}{\left(x+3\right)\left(x+6\right)}+\frac{1}{\left(x+6\right)\left(x+9\right)}=\frac{1}{3}\left(27-\frac{1}{x+9}\right)\)
Bạn nào làm giúp mình với ạ!
#Cảm ơn nhiều! :)
3) frac{1-x}{x+1}-frac{3+2x}{x+1}0
13) frac{x+2}{x}-frac{x^2+5x+4}{xleft(x+2right)}frac{x}{x+2}
14) frac{1}{x+1}-frac{5}{x-2}frac{20}{left(x+1right)left(2-xright)}
16) frac{x+5}{x-5}-frac{x-5}{x+5}frac{20}{x^2-25}
17) frac{3x+2}{3x-2}-frac{6}{2+3x}frac{9x^2}{9x^2-4}
18) frac{x-1}{x}+frac{1}{x+1}frac{2x-1}{2x^2+2}
19) frac{2}{x+1}-frac{3x+1}{left(x+1right)}frac{1}{left(x+1right)left(x-2right)}
20) frac{x+5}{3x-6}-frac{1}{2}frac{2x-3}{2x-4}
Đọc tiếp
3) \(\frac{1-x}{x+1}-\frac{3+2x}{x+1}=0\)
13) \(\frac{x+2}{x}-\frac{x^2+5x+4}{x\left(x+2\right)}=\frac{x}{x+2}\)
14) \(\frac{1}{x+1}-\frac{5}{x-2}=\frac{20}{\left(x+1\right)\left(2-x\right)}\)
16) \(\frac{x+5}{x-5}-\frac{x-5}{x+5}=\frac{20}{x^2-25}\)
17) \(\frac{3x+2}{3x-2}-\frac{6}{2+3x}=\frac{9x^2}{9x^2-4}\)
18) \(\frac{x-1}{x}+\frac{1}{x+1}=\frac{2x-1}{2x^2+2}\)
19) \(\frac{2}{x+1}-\frac{3x+1}{\left(x+1\right)}=\frac{1}{\left(x+1\right)\left(x-2\right)}\)
20) \(\frac{x+5}{3x-6}-\frac{1}{2}=\frac{2x-3}{2x-4}\)
Giải các phương trình sau
a) frac{7x-3}{x-1}frac{2}{3}
b) frac{2left(3-7xright)}{1+x}frac{1}{2}
c) frac{1}{x-2}+3frac{3-x}{x-2}
d) frac{8-x}{x-7}-8frac{1}{x-7}
e) frac{x+5}{x-5}-frac{x-5}{x+5}frac{20}{x^2-25}
f)frac{1}{x-1}+frac{2}{x+1}frac{x}{x^2-1}
g) frac{x}{2left(x-3right)}+frac{x}{2left(x+1right)}frac{2x}{left(x+1right)left(x-3right)}
h)5+frac{76}{x^2-16}frac{2x-1}{x+4}-frac{3x-1}{4-x}
i) frac{90}{x}-frac{36}{x-6}2
k) frac{1}{x}+frac{1}{x10}frac{1}{12}
l) frac{x+3}{x-3}-frac{1}{x...
Đọc tiếp
Giải các phương trình sau
a) \(\frac{7x-3}{x-1}=\frac{2}{3}\)
b) \(\frac{2\left(3-7x\right)}{1+x}=\frac{1}{2}\)
c) \(\frac{1}{x-2}+3=\frac{3-x}{x-2}\)
d) \(\frac{8-x}{x-7}-8=\frac{1}{x-7}\)
e) \(\frac{x+5}{x-5}-\frac{x-5}{x+5}=\frac{20}{x^2-25}\)
f)\(\frac{1}{x-1}+\frac{2}{x+1}=\frac{x}{x^2-1}\)
g) \(\frac{x}{2\left(x-3\right)}+\frac{x}{2\left(x+1\right)}=\frac{2x}{\left(x+1\right)\left(x-3\right)}\)
h)\(5+\frac{76}{x^2-16}=\frac{2x-1}{x+4}-\frac{3x-1}{4-x}\)
i) \(\frac{90}{x}-\frac{36}{x-6}=2\)
k) \(\frac{1}{x}+\frac{1}{x=10}=\frac{1}{12}\)
l) \(\frac{x+3}{x-3}-\frac{1}{x}=\frac{3}{x\left(x-3\right)}\)
m) \(\frac{3}{x+2}-\frac{2}{x-2}+\frac{8}{x^2-4}=0\)
n) \(\frac{3}{x+2}-\frac{2}{x-3}=\frac{8}{\left(x-3\right)\left(x+2\right)}\)
o)\(\frac{x}{2x+6}-\frac{x}{2x+2}=\frac{3x+2}{\left(x+1\right)\left(x+3\right)}\)
p) \(\frac{x}{x+1}-\frac{2x-3}{1-x}=\frac{3x^2+5}{x^2-1}\)
q) \(\frac{5}{x+7}+\frac{8}{2x+14}=\frac{3}{2}\)
r) \(\frac{x-1}{x}=\frac{1}{x+1}=\frac{2x-1}{x^2+x}\)
bài 1: thực hiên phép tính
a, frac{x^2}{x^2-x}- frac{x^2}{x+1}-frac{2x}{x^2-1}
b, frac{4x^2-3x+5}{x^3-1}- frac{1-2x}{x^2+x+1}- frac{6}{x-1}
c, frac{5}{2x^2+6x}-frac{4-3x^2}{x^2-9}-3
d, frac{5}{x+1}-frac{10}{x-x^2-1}-frac{15}{x^3+1}
bài 2: thực hiện phép tính
a, frac{1}{x+1}-frac{2x}{x-1}+frac{x+3}{x^2-1}
b, frac{2}{2x+1}-frac{1}{2x-1}+frac{2}{4x^2-1}
c, frac{7}{8x^2-18}+frac{1}{2x^2+3x}-frac{1}{4x-6}
d, frac{3x^2+5x+14}{x^3+1}+frac{x-1}{x^2-x+1}-frac{4}{x+1}
Đọc tiếp
bài 1: thực hiên phép tính
a, \(\frac{x^2}{x^2-x}\)- \(\frac{x^2}{x+1}\)-\(\frac{2x}{x^2-1}\)
b, \(\frac{4x^2-3x+5}{x^3-1}\)- \(\frac{1-2x}{x^2+x+1}\)- \(\frac{6}{x-1}\)
c, \(\frac{5}{2x^2+6x}-\frac{4-3x^2}{x^2-9}-3\)
d, \(\frac{5}{x+1}-\frac{10}{x-x^2-1}-\frac{15}{x^3+1}\)
bài 2: thực hiện phép tính
a, \(\frac{1}{x+1}-\frac{2x}{x-1}+\frac{x+3}{x^2-1}\)
b, \(\frac{2}{2x+1}-\frac{1}{2x-1}+\frac{2}{4x^2-1}\)
c, \(\frac{7}{8x^2-18}+\frac{1}{2x^2+3x}-\frac{1}{4x-6}\)
d, \(\frac{3x^2+5x+14}{x^3+1}+\frac{x-1}{x^2-x+1}-\frac{4}{x+1}\)
Chứng minh rằng với mọi n\(\ge2\)ta có
\(\frac{1}{2^3}+\frac{1}{3^3}+...+\frac{1}{n^3}< \frac{1}{4}\)
Giải các phương trình sau
a) frac{1}{x+1}-frac{5}{x-2}frac{15}{left(x+1right)left(2-xright)}
b) frac{1}{2x-3}-frac{3}{xleft(2x-3right)}frac{5}{x}
c) frac{6}{x-1}-frac{4}{x-3}frac{8}{2x-6}
d) frac{3}{left(x-1right)left(x-2right)}+frac{2}{left(x-3right)left(x-1right)}frac{1}{left(x-2right)left(x-3right)}
e) frac{1}{x-2}+frac{5}{x+1}frac{3}{2-x}
f) frac{5x}{2x+2}+1-frac{6}{x+1}
g) frac{x+1}{x-1}-frac{x-1}{x+1}frac{4}{x^2-1}
h) frac{3x}{x-2}-frac{x}{x-5}frac{3x}{left(x-2right)left(5-xright)}
Đọc tiếp
Giải các phương trình sau
a) \(\frac{1}{x+1}-\frac{5}{x-2}=\frac{15}{\left(x+1\right)\left(2-x\right)}\)
b) \(\frac{1}{2x-3}-\frac{3}{x\left(2x-3\right)}=\frac{5}{x}\)
c) \(\frac{6}{x-1}-\frac{4}{x-3}=\frac{8}{2x-6}\)
d) \(\frac{3}{\left(x-1\right)\left(x-2\right)}+\frac{2}{\left(x-3\right)\left(x-1\right)}=\frac{1}{\left(x-2\right)\left(x-3\right)}\)
e) \(\frac{1}{x-2}+\frac{5}{x+1}=\frac{3}{2-x}\)
f) \(\frac{5x}{2x+2}+1=-\frac{6}{x+1}\)
g) \(\frac{x+1}{x-1}-\frac{x-1}{x+1}=\frac{4}{x^2-1}\)
h) \(\frac{3x}{x-2}-\frac{x}{x-5}=\frac{3x}{\left(x-2\right)\left(5-x\right)}\)
GPT :
a, left(1+frac{1}{2}+frac{1}{3}+...+frac{1}{2011}+frac{1}{2012}..right).503x1+frac{2014}{2}+frac{2015}{3}+...+frac{4023}{2011}+frac{4024}{2012}
b, left(frac{0,6+frac{3}{7}-frac{2}{11}}{1+frac{5}{7}-frac{5}{11}}+frac{frac{2}{3}-1,5+frac{2}{9}}{frac{5}{3}-3,75+frac{5}{9}}right)+93xleft(frac{3737}{4545}-frac{954954}{975975}right).left(frac{1}{2}-frac{1}{3}-frac{1}{6}right)-7.left(x-3right)
Đọc tiếp
GPT :
a, \(\left(1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2011}+\frac{1}{2012}..\right).503x=1+\frac{2014}{2}+\frac{2015}{3}+...+\frac{4023}{2011}+\frac{4024}{2012}\)
b, \(\left(\frac{0,6+\frac{3}{7}-\frac{2}{11}}{1+\frac{5}{7}-\frac{5}{11}}+\frac{\frac{2}{3}-1,5+\frac{2}{9}}{\frac{5}{3}-3,75+\frac{5}{9}}\right)+93x=\left(\frac{3737}{4545}-\frac{954954}{975975}\right).\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)-7.\left(x-3\right)\)
Cho A = \(\frac{m-1}{1}+\frac{m-2}{2}+....+\frac{2}{m-2}+\frac{1}{m-1}\)
B = \(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{n}\)
Tính A/B