Violympic toán 8
Các câu hỏi tương tự
Bµi 5: Gi¶i PT sau.
a,frac{5x-2}{2-2x}+frac{2x-1}{2}+frac{x^2+x-3}{1-x}1
b,frac{6x-1}{2-x}+frac{9x+4}{x+2}frac{3x^2-2x+1}{x^2-4}
c,frac{1}{x-1}+frac{2x^2-5}{x^3-1}frac{4}{x^2+x+1}
d) (x2 + 4x + 8)2 + 3x(x2 + 4x + 8) + 2x2 0
e) x4 + 2x3 + 4x2 + 2x + 1 0
f,frac{3x-1}{x-1}-frac{2x+5}{x+3}+frac{4}{x^2+2x-3}1
Đọc tiếp
Bµi 5: Gi¶i PT sau.
\(a,\frac{5x-2}{2-2x}+\frac{2x-1}{2}+\frac{x^2+x-3}{1-x}=1\)
b,\(\frac{6x-1}{2-x}+\frac{9x+4}{x+2}=\frac{3x^2-2x+1}{x^2-4}\)
\(c,\frac{1}{x-1}+\frac{2x^2-5}{x^3-1}=\frac{4}{x^2+x+1}\)
d) (x2 + 4x + 8)2 + 3x(x2 + 4x + 8) + 2x2 = 0
e) x4 + 2x3 + 4x2 + 2x + 1 = 0
\(f,\frac{3x-1}{x-1}-\frac{2x+5}{x+3}+\frac{4}{x^2+2x-3}=1\)
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,\(\frac{1}{x-1}-\frac{7}{x+2}=\frac{3}{1-x^2}\)
\(\frac{6}{x^2-1}+5=\frac{8x-1}{4x+4}-\frac{12x-1}{4-4x}\)
\(\frac{x+4}{x^2-3x+2}-\frac{x+1}{x^2-4x+3}=\frac{2x+5}{x^2-4x+3}\)
giải phương trình
a) \(\frac{4x-8}{2x^2+1}=0\)
b)\(\frac{x^2-x-6}{x-3}=0\)
c)\(\frac{x+5}{3x-6}-\frac{1}{2}=\frac{2x-3}{2x-4}\)
d)\(\frac{12}{1-9x^2}=\frac{1-3x}{1+3x}-\frac{1+3x}{1-3x}\)
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) \(\frac{x-1}{x}=\frac{1}{x+1}=\frac{2x-1}{x^2+x}\)
Giải bất phương trình:
a, \(\frac{5x-3}{5}+\frac{2x+1}{4}\le\frac{2-3x}{2}-5\)
\(b,\frac{x+2}{2013}+\frac{x+5}{2010}>\frac{x+8}{2007}+\frac{x+11}{2004}\)
Giải các bất phương trình:
\(a,\frac{5x-3}{5}+\frac{2x+1}{4}\le\frac{2-3x}{2}-5\)
\(b,\frac{x+2}{2013}+\frac{x+5}{2010}>\frac{x+8}{2007}+\frac{x+11}{2004}\)
Bài 4: Giải các phương trình sau
a) 4(x+5)(x+6)(x+10)(x+12)=\(3x^2\)
b) \(\frac{1}{x^2-3x+3}+\frac{2}{x^2-3x+4}=\frac{6}{x^2-3x+5}\)
c) \(\frac{4x}{4x^2-8x+7}+\frac{3x}{4x^2-10x+7}=1\)
d) \(\dfrac{2x}{2x^2-5x+3}+\dfrac{13x}{2x^2+x+3}=6\)
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, \(\frac{3x^2+5x+14}{x^3+1}+\frac{x-1}{x^2-x+1}-\frac{4}{x+1}\)