Violympic toán 8
Các câu hỏi tương tự
Bài 1: Giải các phương trình:
a) x+frac{2x-1}{1-x}-1
b) x+frac{1}{x}2
Bài 2: Giải các phương trình:
a) frac{x}{x-2}frac{x-2}{x-3}
b) frac{2x-4}{x-1}-frac{x-3}{x-2}1
c) frac{x+3}{x-1}-frac{3}{X-1}+frac{x^2-2}{1-x^2}0
d) frac{2x+1}{x-3}-frac{3}{x-2}2
Bài 3: Giải các phương trình sau:
a) frac{2x}{x-1}-frac{x}{x-2}frac{x^2}{left(x-1right)left(x-2right)}
b) frac{1}{x+2}frac{6}{x-1}+frac{8}{left(x+2right)left(x-1right)}0
c) frac{x+2}{x+3}-frac{x+1}{x-1}frac{4}{left(x+3right)left(x-1right)}...
Đọc tiếp
Bài 1: Giải các phương trình:
a) \(x+\frac{2x-1}{1-x}=-1\)
b) \(x+\frac{1}{x}=2\)
Bài 2: Giải các phương trình:
a) \(\frac{x}{x-2}=\frac{x-2}{x-3}\)
b) \(\frac{2x-4}{x-1}-\frac{x-3}{x-2}=1\)
c) \(\frac{x+3}{x-1}-\frac{3}{X-1}+\frac{x^2-2}{1-x^2}=0\)
d) \(\frac{2x+1}{x-3}-\frac{3}{x-2}=2\)
Bài 3: Giải các phương trình sau:
a) \(\frac{2x}{x-1}-\frac{x}{x-2}=\frac{x^2}{\left(x-1\right)\left(x-2\right)}\)
b) \(\frac{1}{x+2}\frac{6}{x-1}+\frac{8}{\left(x+2\right)\left(x-1\right)}=0\)
c) \(\frac{x+2}{x+3}-\frac{x+1}{x-1}=\frac{4}{\left(x+3\right)\left(x-1\right)}\)
d) \(\frac{x-1}{x+2}-\frac{x+1}{x-2}=\frac{x-3}{4-x^2}\)
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,\(\frac{1}{x-1}-\frac{7}{x+2}=\frac{3}{1-x^2}\)
Giải các phương trình sau:
a) left(frac{x-2}{x-1}right)^2-5left(frac{x+2}{x+1}right)^2+4left(frac{x^2-4}{x^2-1}right)1
b) left(frac{x-1}{x}right)^2+left(frac{x-1}{x-2}right)^2frac{40}{9}
c) x.frac{4-x}{x+2}.left(frac{8-2x}{x+2}right)3
d) frac{1}{3x-2020}+frac{1}{4x-2018}+frac{1}{5x-2017}frac{1}{12x-2019}
Đọc tiếp
Giải các phương trình sau:
a) \(\left(\frac{x-2}{x-1}\right)^2-5\left(\frac{x+2}{x+1}\right)^2+4\left(\frac{x^2-4}{x^2-1}\right)=1\)
b) \(\left(\frac{x-1}{x}\right)^2+\left(\frac{x-1}{x-2}\right)^2=\frac{40}{9}\)
c) \(x.\frac{4-x}{x+2}.\left(\frac{8-2x}{x+2}\right)=3\)
d) \(\frac{1}{3x-2020}+\frac{1}{4x-2018}+\frac{1}{5x-2017}=\frac{1}{12x-2019}\)
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) \(\frac{3x}{x-2}-\frac{x}{x-5}=\frac{3x}{\left(x-2\right)\left(5-x\right)}\)
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) \(\frac{x-1}{x}=\frac{1}{x+1}=\frac{2x-1}{x^2+x}\)
1,Giải PT
a,\(\frac{3}{1-4x}=\frac{2}{4x+1}-\frac{3+6x}{16x^2-1}\)
b,\(\frac{5-x}{4x^2-8x}+\frac{7}{8x}=\frac{x-1}{2x\left(x-2\right)}+\frac{1}{8x-16}\)
c,\(\frac{x+1}{x^2+x+1}-\frac{x-1}{x^2-x+1}=\frac{3}{x\left(x^4+x^2+1\right)}\)
giải pt sau: \(\frac{1}{x-1}+\frac{2}{x^2+x+1}=\frac{3x^2}{x^2-1}\)
bài 1 giải phương trình
frac{3x+2}{3x-2}-frac{6}{2+3x}frac{9x^2}{9x^2-4}
frac{3}{5x-1}+frac{3}{3-5x}frac{4}{left(1-5xright)left(5x-3right)}
frac{3}{1-4x}frac{2}{4x+1}-frac{8+6x}{16x^2-1}
frac{5-x}{4x^2-8x}+frac{7}{8x}frac{x-1}{2xleft(x-2right)}+frac{1}{8x-16}
frac{x+1}{x^2+x+1}-frac{x-1}{x^2-x+1}frac{3}{xleft(x^4+x^2+1right)}
Đọc tiếp
bài 1 giải phương trình
\(\frac{3x+2}{3x-2}-\frac{6}{2+3x}=\frac{9x^2}{9x^2-4}\)
\(\frac{3}{5x-1}+\frac{3}{3-5x}=\frac{4}{\left(1-5x\right)\left(5x-3\right)}\)
\(\frac{3}{1-4x}=\frac{2}{4x+1}-\frac{8+6x}{16x^2-1}\)
\(\frac{5-x}{4x^2-8x}+\frac{7}{8x}=\frac{x-1}{2x\left(x-2\right)}+\frac{1}{8x-16}\)
\(\frac{x+1}{x^2+x+1}-\frac{x-1}{x^2-x+1}=\frac{3}{x\left(x^4+x^2+1\right)}\)
Giải các phương trình sau:
1) \(\frac{x+3}{x+1}+\frac{x-2}{x}=2\)
2) \(\frac{2x-3}{x-2}=\frac{2x+1}{x}\)