Phương trình bậc nhất một ẩn
Các câu hỏi tương tự
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) \(\dfrac{3x-1}{x-1}-\dfrac{2x+5}{x+3}+\dfrac{4}{x^2+2x-3}=1\)
cho m=x^3-2x^2/x-2+x^3+1/x^2-x+1 a, rút gọn m b, tìm x để m=7
1) giải phương trình :
a) left(2+3right)left(dfrac{3x+8}{2-7x}+1right)left(x-5right)left(dfrac{3x+8}{2-7x}+1right)
b) dfrac{7x+10}{x+1}left(x^2-x-2right)-dfrac{7x+10}{x+1}left(2x^2-3x-5right)0
c) dfrac{2x+5}{x+3}+1dfrac{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
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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) \(\dfrac{1+\dfrac{x}{x+3}}{1-\dfrac{x}{x+3}}=3\)
1) giải pt :
a) dfrac{x-5}{100}+dfrac{x-4}{101}+dfrac{x-3}{102}dfrac{x-100}{5}+dfrac{x-101}{4}+dfrac{x-102}{3}
b) dfrac{29-x}{21}+dfrac{27-x}{23}+dfrac{25-x}{25}+dfrac{23-x}{27}+dfrac{21-x}{29}-5
2) giải pt :
a) left(5x+1right)^2left(3x-2right)^2
b) left(x+2right)^3left(2x+1right)^3
c) left(x+3right)^4+left(x+5right)^42
d) x^4-3x^3+4x^2-3x+10
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1) giải pt :
a) \(\dfrac{x-5}{100}+\dfrac{x-4}{101}+\dfrac{x-3}{102}=\dfrac{x-100}{5}+\dfrac{x-101}{4}+\dfrac{x-102}{3}\)
b) \(\dfrac{29-x}{21}+\dfrac{27-x}{23}+\dfrac{25-x}{25}+\dfrac{23-x}{27}+\dfrac{21-x}{29}=-5\)
2) giải pt :
a) \(\left(5x+1\right)^2=\left(3x-2\right)^2\)
b) \(\left(x+2\right)^3=\left(2x+1\right)^3\)
c) \(\left(x+3\right)^4+\left(x+5\right)^4=2\)
d) \(x^4-3x^3+4x^2-3x+1=0\)
Giải các phương trình sau bằng cách đưa về dạng ax + b 0 :
1. a) 5 - (x - 6) 4(3 - 2x)
b) 2x(x + 2)^2 - 8x^2 2(x - 2)( x^2 + 2x + 4)
c) 7 - (2x + 4) - (x + 4)
d) (x - 2)^3 + (3x - 1)(3x + 1) (x + 1)^3
e) (x + 1)(2x - 3) (2x - 1)(x + 5)
f) (x - 1)^3 - x(x + 1)^2 5x(2 - x ) - 11(x +2)
g) (x-1) - (2x - 1 ) 9 - x
h) (x-3)(x+4) - 2(3x - 2) (x-4)^2
i) x(x+3)^2 - 3x (x + 2)^3 + 1
j) (x + 1)(x^2 - x + 1) - 2x x(x + 1)(x-1)
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Giải các phương trình sau bằng cách đưa về dạng ax + b = 0 :
1. a) 5 - (x - 6) = 4(3 - 2x)
b) 2x(x + 2)^2 - 8x^2 = 2(x - 2)( x^2 + 2x + 4)
c) 7 - (2x + 4) = - (x + 4)
d) (x - 2)^3 + (3x - 1)(3x + 1) = (x + 1)^3
e) (x + 1)(2x - 3) = (2x - 1)(x + 5)
f) (x - 1)^3 - x(x + 1)^2 = 5x(2 - x ) - 11(x +2)
g) (x-1) - (2x - 1 ) = 9 - x
h) (x-3)(x+4) - 2(3x - 2) = (x-4)^2
i) x(x+3)^2 - 3x = (x + 2)^3 + 1
j) (x + 1)(x^2 - x + 1) - 2x = x(x + 1)(x-1)
Giải các phương trình sau :
a) | x2 - x | = -2x
b) 2x+3/ 3 - x = 5 + x+1/ 2
c) 2/x2+2x+1 - 5/x2 -2x+1 = 3/1-x2
4 tìm giá trị cuả x sao cho các biểu thức A và B cho sau ₫ây có giá trị nhau:
a) A=(x-3)(x+4)-2(3x-2) và B =(x-4)mũ 2
b) A=(2+2)(x-2)+3x mũ 2 và B= (2x+1) mũ 2 +2x
C) A=(x-1)(x mũ 2 +x+1)-2x và B= x(x-1)(x+1)
d) A= (x+1) mũ 3 -(x-2) mũ 3 và B= (3x-1)(3x+1)
Giải các phương trình có chứa ẩn ở mẫu sau:
a, dfrac{x-3}{x-2}+dfrac{x+2}{x}2
b, left(x-2right)left(dfrac{2}{3}x-6right)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+1right)left(x-2right)}
m, dfrac{3x-1}{x...
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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, \(\dfrac{2}{x^2+4x-21}=\dfrac{3}{x-3}\)
Bài 5:Giải các phương trình sau.
a) 3 – 4y + 24 + 6y = y + 27 + 3y b) 5 – (x – 6) = 4(3 – 2x)
c) (x + 1)(2x – 3) = (2x – 1)(x + 5) d) 2x(x + 2)2 – 8x2 = 2(x – 2)(x2 + 2x + 4)
e) (x – 3)(x + 4) – 2(3x – 2) = (x – 4)2 f) (x + 1)(x2 – x + 1) – 2x = x(x + 1)(x – 1)