\(x\ne0;3\)
\(\frac{x+3}{x-3}-\frac{1}{x}+\frac{5x-3}{x\left(x-3\right)}=0\)
\(\Leftrightarrow\frac{x\left(x+3\right)}{x\left(x-3\right)}-\frac{x-3}{x\left(x-3\right)}+\frac{5x-3}{x\left(x-3\right)}=0\)
\(\Leftrightarrow x^2+7x=0\)
\(\Leftrightarrow x\left(x+7\right)=0\Rightarrow\left[{}\begin{matrix}x=0\left(l\right)\\x=-7\end{matrix}\right.\)
1,Giải Pt
a,\(\frac{3x-7}{2}+\frac{x+1}{3}=-16\)
b,\(x-\frac{x+1}{3}=\frac{2x+1}{5}\)
c,\(\frac{7-3x}{12}+\frac{3}{4}=2\left(x-2\right)+\frac{5\left(5-2x\right)}{6}\)
e,\(\frac{3\left(x+3\right)}{4}+\frac{1}{2}=\frac{5x+9}{3}-\frac{7x-9}{4}\)
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
Giair pt:
c, x ( 3x-1) (3x+1) (3x+2) =8
d, (x+1) (2x+3) (2x+5) (x+3)=45
e,x4+ 3x3 - 15x2 - 19x + 3 = 0
f, \(\frac{1}{x^2+x}+\frac{1}{x^2+3x+2}+\frac{1}{x^2+5x+6}+\frac{1}{x^2+7x+12}=\frac{1}{3}\)
h,\(\frac{1}{x^2+9x+20}+\frac{1}{x^2+11x+30}+\frac{1}{x^2+13x+42}=\frac{1}{18}\)
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 pt
\(\frac{x^2+x+1}{x+1}+\frac{x^2+2x+2}{x+2}=\frac{x^2+3x+3}{x+3}+\frac{x^2+4x+4}{x+4}\)
giải pt và bất pt
a) |x+5|=3x+1
b)\(\frac{3\left(x-1\right)}{4}+1\ge\frac{x+2}{3}\)
c)\(\frac{x-2}{x+2}-\frac{3}{x-2}=\frac{2\left(x-11\right)}{x^2-4}\)
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,\(\frac{1}{x-1}-\frac{7}{x+2}=\frac{3}{1-x^2}\)
1. Phân tích:
a) A= x^3 + y^3 + xy(xy+1)
b) B= x^4 +4x^3 - 6x^2 - 4x + 5
2.
a) Giải pt: \(\frac{5x-3}{x+2}-\frac{x+3}{x-6}=\frac{9x^2-28x+12}{x^2-4x-12}\)
b) Giải và biện luận phương trình ẩn x theo m: /3x-5/=1-m
1 Giari các PT:
a, \(\frac{2}{x+1}-\frac{1}{x-2}=\frac{3x-11}{\left(x-1\right)\left(x-2\right)}\)
b, \(\left(\frac{3}{2x+1}+2\right)\left(5x-2\right)=\frac{5x-2}{2x+1}\)