Phương trình bậc nhất một ẩn

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 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

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