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,\(\frac{1}{x-1}-\frac{7}{x+2}=\frac{3}{1-x^2}\)
\(\frac{3}{2x}+\frac{3x-3}{2x-1}+\frac{2x^2+1}{4x^2-2x}\)
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:
a)3-4x(25-2x)=8x\(^2\)+x-30
b)(2x+1)(3x-2)=(5x-8)(2x+1)
c)\(\frac{x}{2x+1}+\frac{x+1}{2x+3}=\frac{x+1}{2x+1}+\frac{x-1}{2x+3}\)
d)||x+1|-1|=5
\(\frac{5}{x-3}-\frac{2x-1}{2x+1}-1=\frac{13}{x^2-2x-3}\)
Bài 1: Giải các phương trình sau:
a) \(\frac{\left(2x+1\right)^2}{5}-\frac{\left(x-1\right)^2}{3}=\frac{7x^2-14x-5}{15}\)
b) \(\frac{7x-1}{6}+2x=\frac{16-x}{5}\)
Bài 2: Giải các phương trình sau:
a) \(x+\frac{2x+\frac{x-1}{5}}{3}=1-\frac{3x-\frac{1-2x}{3}}{5}\)
b) \(\frac{3x-1-\frac{x-1}{2}}{3}-\frac{2x+\frac{1-2x}{3}}{2}=\frac{\frac{3x-1}{2}-6}{5}\)
giải phương trình sau :
a) 5-(x-6) = 4(3-2x) b) 2x(x+2)2-8x2 = 2(x-2)(x2+4)
c) 7-(2x+4) = -(x+4) d) (x+1)(2x-3) = (2x-1)(x+5
f) \(\frac{7x-1}{6}+2x=\frac{16-x}{5}\)
e) \(\frac{\left(2x+1\right)^2}{5}-\frac{\left(x-1\right)^2}{3}=\frac{7x^2-14x-5}{15}\)
Rút gọn biểu thức
\(\left(\frac{1}{x+1}-\frac{3}{x^3+1}+\frac{3}{x^2-x+1}\right):\frac{3x^2-3x+3}{\left(x+1\right)\left(x+2\right)}-\frac{2x-2}{x^2+2x}\)
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, \(\frac{3x^2+5x+14}{x^3+1}+\frac{x-1}{x^2-x+1}-\frac{4}{x+1}\)
\(\frac{2x-1}{2}-1=\frac{x^2+x-3}{x-1}-\frac{5x-2}{2-2x}\)