Giải các phương trình sau :
a) \(\dfrac{2x}{3}+\dfrac{2x-1}{6}=4-\dfrac{x}{3}\)
b) \(\dfrac{x-1}{2}+\dfrac{x-1}{4}=1-\dfrac{2\left(x-1\right)}{3}\)
c) \(\dfrac{2-x}{2001}-1=\dfrac{1-x}{2002}-\dfrac{x}{2003}\)
Tìm điều kiện của \(x\) để giá trị của mỗi phân thức sau được xác định :
a) \(A=\dfrac{3x+2}{2\left(x-1\right)-3\left(2x+1\right)}\)
b) \(B=\dfrac{0,5\left(x+3\right)-2}{1,2\left(x+0,7\right)-4\left(0,6x+0,9\right)}\)
1) \(\dfrac{5x-2}{3}\)= \(\dfrac{5-3x}{2}\)
2) \(\dfrac{x+4}{5}\) - x + 4 = \(\dfrac{x}{3}\) - \(\dfrac{x-2}{2}\)
3) \(\dfrac{10x+3}{12}\)= 1 + \(\dfrac{6+8x}{9}\)
4) \(\dfrac{x+1}{3}\)- \(\dfrac{x-2}{6}\) = \(\dfrac{2x-1}{2}\)
bài 4 giải các phương trình sau
b,\(\dfrac{x+2}{3}-\dfrac{3}{4}=\dfrac{x-1}{3}\)
d,\(\dfrac{x-2}{4}+\dfrac{x+1}{6}=\dfrac{2x}{3}\)
f,\(\dfrac{x+2}{4}+\dfrac{2x-3}{3}=\dfrac{x-12}{6}\)
h,\(\dfrac{10x+3}{12}=1+\dfrac{6+8x}{9}\)
j,\(\dfrac{2x-1}{5}-\dfrac{x-2}{3}=\dfrac{x+7}{15}\)
m,\(\dfrac{2+x}{5}-0,5x=\dfrac{1-2x}{4}+0,25\)
4,\(\dfrac{x+1}{3}\)+\(\dfrac{3\left(2x+1\right)}{4}\)=\(\dfrac{2x+3\left(x+1\right)}{6}\)+\(\dfrac{7+12x}{12}\)
5,\(\dfrac{2x}{3}\)+\(\dfrac{2x-1}{6}\)=4-\(\dfrac{x}{3}\)
6,\(\dfrac{x-1}{2}\)+\(\dfrac{x-1}{4}\)=1-\(\dfrac{2\left(x-1\right)}{3}\)
tìm n của phương trình \(x^2-\dfrac{2n-2x}{4}-2x+5n=x^3-9x^2+10\)
có nghiệm bằng \(\dfrac{1}{3}\)của phương trình \(\left(x+1\right)\left(x+3\right)=x\left(x-3\right)+24\)
1) giải phương trình
a) x - \(\dfrac{\dfrac{x}{2}-\dfrac{3+x}{4}}{2}\)= 2x - \(\dfrac{\dfrac{10-7x}{3}}{2}\)- x-1
b) (2x-2)\(^2\)= (x+1)\(^2\)+3(x-2)(x+3)
c) \(\dfrac{x-90}{10}+\dfrac{x-76}{12}+\dfrac{x-58}{14}+\dfrac{x-36}{16}+\dfrac{x-15}{17}=15\)
Giải phương trình sau: ( giúp mk nha)
a) \(\dfrac{2x-\dfrac{4-5x}{5}}{15}=\dfrac{7x-\dfrac{x-3}{2}}{5}-x+1\)
b) \(x-\dfrac{\dfrac{x}{2}-\dfrac{3+x}{4}}{2}=\dfrac{2x-\dfrac{10-7x}{3}}{2}-6x+1\)
c) \(\dfrac{x+1}{65}+\dfrac{x+3}{63}=\dfrac{x+5}{61}+\dfrac{x+7}{59}\)
Giải Phương trình
1)\(\dfrac{99-x}{101}+\dfrac{97-x}{103}+\dfrac{95-x}{105}+\dfrac{93-x}{107}=4\)
2)\(\dfrac{x+14}{86}+\dfrac{x+15}{85}+\dfrac{x+16}{84}+\dfrac{x+17}{83}+\dfrac{x+116}{4}=0\)
3)\(x+\dfrac{2x+\dfrac{x-1}{5}}{3}=1-\dfrac{3x-\dfrac{1-2x}{3}}{5}\)