\(\dfrac{7}{8x}+\dfrac{5-x}{4x^2-8x}=\dfrac{x-1}{2x\left(x-2\right)}+\dfrac{1}{8x-16}\)
ĐKXĐ: x ≠ 0; x ≠ 2
\(< =>\dfrac{14x-28+20-4x}{16x\left(x-2\right)}=\dfrac{8x-8+2x}{16x\left(x-2\right)}\)
Suy ra: 14x - 28 + 20 - 4x = 8x - 8 + 2x
<=> 14x - 8x - 2x - 4x = 28 - 20 - 8
<=> 0x = 0
Vậy: S = { x | x ≠ 0;2 }
Giải phương trình
a) \(\dfrac{3}{5x-1}\)+ \(\dfrac{2}{3-5x}\)=\(\dfrac{4}{\left(1-5x\right)\left(x-3\right)}\)
b) \(\dfrac{5-x}{4x^2-8x}\)+\(\dfrac{7}{8x}\)=\(\dfrac{x-1}{2x\left(x-2\right)}\)+\(\dfrac{1}{8x-16}\)
Giải các phương trình:
\(1.2x\left(x-3\right)+5\left(x-3\right)\)
\(2.\dfrac{5x+2}{6}-\dfrac{8x-1}{3}=\dfrac{4x+2}{5}-5\)
\(3.\dfrac{x}{2x-6}+\dfrac{x}{2x-2}=\dfrac{-2x}{\left(x+1\right)\left(3-x\right)}\)
có ai biết giải bài này k giúp mình giải với
1. \(\dfrac{1}{x-1}\)-\(\dfrac{3x^2}{x^2-1}\)=\(\dfrac{2x}{x^2+x+1}\)
2. \(\dfrac{7}{8x}+\dfrac{5-x}{4x^2-8x}=\dfrac{x-1}{2x\left(x-2\right)}+\dfrac{1}{8x-16}\)
3. (x2+5x)2-2(x2+5x)=24
thực hiện phép tính
\(\dfrac{4x^2+8x}{\left(2-x\right)\left(2+x\right)}:\dfrac{1-2x}{2-x}\)
a) 6-7x+7=-8x+12
b) \(\dfrac{\text{4x-1}}{8}\)\(\)=\(\dfrac{6-x}{2}\)-\(\dfrac{1}{4}\)
c) 2x(x-3)+7x-21+0
d) \(\dfrac{x}{x-3}\)+\(\dfrac{x-2}{x+3}\)\(\dfrac{2\left(x^2+6\right)}{x^2-9}\)
Tính:
a) \(\left(2x^3+x^2-8x+3\right):\left(2x-3\right)\)
b) \(\dfrac{x-5}{x^2-4x+4}:\dfrac{x^2-25}{2x-4}\)
Thu gọn \(\dfrac{20x^2+120x+180}{\left(3x+5\right)^2-4x^2}+\dfrac{5x^2-125}{9x^2-\left(2x+5\right)^2}-\dfrac{\left(2x+3\right)^2-x^2}{3\left(x^2+8x+15\right)}\)
Giải các phương trình sau:
\(a.\dfrac{5x-2}{3}=\dfrac{5-3x}{2}\)
\(b.\dfrac{10x+3}{12}=1+\dfrac{6+8x}{9}\)
\(c.2\left(x+\dfrac{3}{5}\right)=5-\left(\dfrac{13}{5}+x\right)\)
\(d.\dfrac{7}{8}x-5\left(x-9\right)=\dfrac{20x+1,5}{6}\)
\(e.\dfrac{7x-1}{6}+2x=\dfrac{16-x}{5}\)
\(f.\dfrac{x+4}{5}-x+4=\dfrac{x}{3}-\dfrac{x-2}{2}\)
\(a,\left(x+2\right)^2-\left(x-2\right)^2>8x-2\)
\(b,\dfrac{x}{2}-\dfrac{5+7x}{3}-\dfrac{4x}{5}>-8\)
