a: \(\Leftrightarrow5\left(x+1\right)\left(x-1\right)=2x-2-3x-3=-x-5\)
\(\Leftrightarrow5x^2-5+x+5=0\)
=>x(5x+1)=0
=>x=0 hoặc x=-1/5
b: \(\Leftrightarrow x^2-x-\left(2x-3\right)\left(x+1\right)=2x+3\)
\(\Leftrightarrow x^2-x-2x^2-2x+3x+3=2x+3\)
\(\Leftrightarrow-x^2+3=2x+3\)
=>-x(x+2)=0
=>x=0(nhận) hoặc x=-2(nhận)
c: \(\Leftrightarrow4x^2-25=0\)
=>(2x-5)(2x+5)=0
=>x=5/2 hoặc x=-5/2
giải phương trình
a, \(\dfrac{3}{2x-1}+1=\dfrac{2x-1}{2x+1}\)
b,\(\dfrac{3x-1}{x-1}-\dfrac{2x+5}{x+3}+\dfrac{4}{x^2+2x-3}=1\)
c,\(\dfrac{5}{x^2+x-6}-\dfrac{2}{x^2+4x+3}=\dfrac{-3}{2x-1}\)
d, \(\left(x^2-4\right)\left(2x+3\right)=\left(x^2-4\right)\left(x-1\right)\)
e, \(x^3+x^2+x+1=0\)
1) giải phương trình :
a) \(\left(2+3\right)\left(\dfrac{3x+8}{2-7x}+1\right)=\left(x-5\right)\left(\dfrac{3x+8}{2-7x}+1\right)\)
b) \(\dfrac{7x+10}{x+1}\left(x^2-x-2\right)-\dfrac{7x+10}{x+1}\left(2x^2-3x-5\right)=0\)
c) \(\dfrac{2x+5}{x+3}+1=\dfrac{4}{x^2+2x-3}-\dfrac{3x-1}{1-x}\)
d) \(\dfrac{13}{2x^2+x-21}+\dfrac{1}{2x+7}+\dfrac{6}{9-x^2}=0\)
i) \(\dfrac{x-49}{50}+\dfrac{x-50}{49}=\dfrac{49}{x-50}+\dfrac{50}{x-49}\)
k) \(\dfrac{1+\dfrac{x}{x+3}}{1-\dfrac{x}{x+3}}=3\)
Giải các phương trình có chứa ẩn ở mẫu sau:
a, \(\dfrac{x-3}{x-2}+\dfrac{x+2}{x}=2\)
b, \(\left(x-2\right)\left(\dfrac{2}{3}x-6\right)=0\)
d, \(\dfrac{x}{x+1}-\dfrac{2x-3}{x-1}=\dfrac{2x+3}{x^2-1}\)
f, \(\dfrac{x-1}{x}+\dfrac{x-2}{x+1}=2\)
g, \(\dfrac{x}{x-1}+\dfrac{x-1}{x}=2\)
h, \(\dfrac{x+3}{x+1}+\dfrac{x-2}{x}=2\)
i, \(\dfrac{2}{x+1}-\dfrac{3}{x-1}=5\)
j, \(\dfrac{2x+1}{2x-1}-\dfrac{2x-1}{2x+1}=\dfrac{8}{4x^2-1}\)
k, \(\dfrac{3x-1}{x-1}-\dfrac{2x+5}{x-3}=1\)
l, \(\dfrac{2}{x+1}-\dfrac{1}{xx-2}=\dfrac{3x-11}{\left(x+1\right)\left(x-2\right)}\)
m, \(\dfrac{3x-1}{x-1}-\dfrac{2x+5}{x+3}+\dfrac{4}{x^2+2x-3}=1\)
n, \(\dfrac{x+2}{x-2}-\dfrac{1}{x}=\dfrac{2}{x\left(x-2\right)}\)
o, \(\dfrac{x-2}{x+2}+\dfrac{3}{x-2}=\dfrac{x^2-11}{x^2-4}\)
p, \(\dfrac{x+4}{x+1}+\dfrac{x}{x-1}=\dfrac{2x^2}{x^2-1}\)
z, \(\dfrac{2x}{x-1}+\dfrac{4}{x^2+2x-3}=\dfrac{2x-5}{x+3}\)
q, \(\dfrac{x^2-x}{x+3}-\dfrac{x^2}{x-3}=\dfrac{7x^2-3x}{9-x^2}\)
r, \(\dfrac{1}{x-3}+2=\dfrac{5}{x-1}+x\)
s, \(\dfrac{2}{x^2+4x-21}=\dfrac{3}{x-3}\)
1. giải pt :
a) \(\dfrac{1}{x-3}+2=\dfrac{5}{x-1}+x\)
b)\(\dfrac{2}{x^2+4x-21}=\dfrac{3}{x-3}\)
c) \(\dfrac{1}{x^2+2x+3}+4=\dfrac{1}{x^2+1}\)
d) \(\dfrac{2x+1}{2x-1}-\dfrac{2x-1}{2x+1}=\dfrac{8}{4x^2-1}\)
e) \(\dfrac{3x-1}{x-1}-\dfrac{2x+5}{x+3}+\dfrac{4}{x^2+2x-3}=1\)
giải các phương trình ẩn x sau:
a) \(\dfrac{1}{3x}\)+\(\dfrac{1}{2x}\)=\(\dfrac{1}{4}\)
b) \(\dfrac{3}{8x}-\dfrac{1}{2x}=\dfrac{1}{x^2}\)
c)\(\dfrac{1}{2x}+\dfrac{3}{4x}=\dfrac{5}{2x^2}\)
d) \(\dfrac{2a}{x+a}=1\)
a) \(x-\dfrac{\dfrac{x}{2}-\dfrac{3+x}{4}}{2}=\dfrac{2x-\dfrac{10-7x}{3}}{3}-\left(x-1\right)\)
b) \(x^2-6x-2+\dfrac{14}{x^2-6x+7}=0\)
c) \(\dfrac{8x^2}{3\left(1-4x^2\right)}=\dfrac{2x}{6x-3}-\dfrac{1+8x}{4+8x}\)
d) \(\dfrac{13}{\left(2x+7\right)\left(x-3\right)}+\dfrac{1}{\left(2x+7\right)}=\dfrac{6}{x^2-9}\)
e) \(\left(1-\dfrac{2x-1}{x+1}\right)^3+6\left(1-\dfrac{2x-1}{x+1}\right)^2=\dfrac{12\left(2x-1\right)}{x+1}-20\)
Giải phương trình
a) (x+3)(x+1)(x2+2)=0
b) (x2-4)(2x+1)=0
c) 4x2+4x+1=0
d) \(\dfrac{2x}{3}-3\left(7-x\right)=\dfrac{4x-11}{8}\)
e) \(\dfrac{5\left(x-3\right)}{2}-\dfrac{4}{3}=\dfrac{3\left(x-1\right)}{4}+6\)
f) \(\dfrac{2}{3x}-\dfrac{1}{2x}=\dfrac{3}{4x^2}\)
g) \(\dfrac{2}{x-3}=\dfrac{1}{x+2}\)
h)\(\dfrac{3}{x+3}-\dfrac{1}{x-2}=\dfrac{5}{2\left(x+3\right)}\)
Giải phương trình
a)\(\dfrac{x+3}{x-3}-\dfrac{x-3}{x+3}=\dfrac{36}{x^2-9}\)
b) x2-x-6=0
c)\(\dfrac{2x-1}{5}-\dfrac{x-2}{3}=\dfrac{x+7}{15}\)
d)\(\dfrac{x-2}{2}+\dfrac{x+2}{6}=\dfrac{x-1}{3}\)
e)\(\dfrac{x+4}{x-1}-\dfrac{1}{x}=\dfrac{1}{x\left(x-1\right)}\)
f) 2x+7=22-3x
g)(x-7)(2x+8)=0
GIÚP MÌNH VỚI MAI LÀ NỘP BÀI RỒI
