\(\Leftrightarrow\frac{3\left(1+4x\right)}{1-16x^2}=\frac{2\left(1-4x\right)}{1-16x^2}+\frac{8+6x}{1-16x^2}\)
\(\Rightarrow2-8x+8+6x=3+12x\)
\(\Leftrightarrow-2x+10=3+12x\Leftrightarrow14x-7=0\Leftrightarrow2x-1=0\Leftrightarrow x=\frac{1}{2}\)
\(\Leftrightarrow\frac{3\left(1+4x\right)}{1-16x^2}=\frac{2\left(1-4x\right)}{1-16x^2}+\frac{8+6x}{1-16x^2}\)
\(\Rightarrow2-8x+8+6x=3+12x\)
\(\Leftrightarrow-2x+10=3+12x\Leftrightarrow14x-7=0\Leftrightarrow2x-1=0\Leftrightarrow x=\frac{1}{2}\)
Giải phương trình:
3/(1-4x)= 2/(4x+1)-(8-6x)/(16x^2-1)
Giúp với ạ, cảm mơn nhiều nhiều <3
giải phương trình
a)(x+3)^2-(x-3)^2=6x+18
b)x+3 phần x-2=5 phần (x-2)(3-x)
c)12x^2+30x-21 phần 16x^2-9
-3x-7 phần 3-4x =6x+5 phần 4x+3
d)4 phần x+1-2 phần x-2=x+3 phần x^2-x-2
1. Giải phương trình
a) \(\frac{2}{x^2-x-6}+\frac{x+1}{x^2+x-12}=\frac{x}{x^2+6x+8}\)
b) \(\frac{2x-5}{x^2+5x-36}-\frac{x-6}{x^2+3x-28}=\frac{x+8}{x^2+16x+63}\)
c) \(\frac{x-2}{4x^2-29x+30}-\frac{x+1}{20x^2-13x-15}=\frac{x+2}{5x^2-274x+18}\)
\(\frac{12x^2+30x-21}{16x^2-9}\)-\(\frac{3x-7}{3-4x}\)=\(\frac{6x+5}{4x+3}\)
Giúp mình giải với ạ, cảm ơn nhiều ạ
GiẢI pt \(\dfrac{1}{4x^2-6x+2}+\dfrac{1}{4x^2-10x+6}+\dfrac{1}{4x^2-14x+12}+\dfrac{1}{4x^2-18x+20}=\dfrac{4}{21}\)
Giúp mk nha
Giải các phương trình
1/ \(\dfrac{1}{x^2+3x+2}+\dfrac{1}{x^2+5x+6}+\dfrac{1}{x^2+7x+12}=\dfrac{1}{6}\)
2/ \(\dfrac{1}{x^2-6x+8}+\dfrac{1}{x^2-10x+24}+\dfrac{1}{x^2-14x+48}=\dfrac{1}{9}\)
3/ \(\dfrac{1}{x^2-3x+3}+\dfrac{2}{x^2-3x+4}=\dfrac{6}{x^2-3x+5}\)
4/ \(\dfrac{6}{\left(x+1\right)\left(x+2\right)}+\dfrac{8}{\left(x-1\right)\left(x+4\right)}=1\)
5/ \(4\left(x^3+\dfrac{1}{x^3}\right)=13\left(x+\dfrac{1}{x}\right)\)
6/ \(\dfrac{4x}{4x^2-8x+7}+\dfrac{3x}{4x^2-10x+7}=1\)
7/ \(\dfrac{x^2-3x+5}{x^2-4x+5}-\dfrac{x^2-5x+5}{x^2-6x+5}=-\dfrac{1}{4}\)
8/ \(x.\dfrac{8-x}{x-1}\left(x-\dfrac{8-x}{x-1}\right)=15\)
Giải phương trình:
b)4x/x2+4x+3 - 1=6(1/x+3 - 1/2x+2)
c)x2-x-12=0
e)6x+22/x+2 - 2x+7/x+3=x+4/x^2+5x+6
ai giúp mik với mik nhiều bt lắm
a, 1/x-1 - 7/x+2 = 3/x2+x-2
b,x+3/x-4 + x-1/x-2 = 2/6x-8-x2
c,1/x+1 + 2/x3-x2x+1 = 3/1-x2
d, 3x-1/x-1 - 2x+5/x+3 = 1 - 4/x2+2x-3
e, x2+2x+1/x2+2x+2 + x2+2x+2/x2+2x+3 = 7/6
f, 1/4x2-12x+9 - 3/9-4x2=4/4x2+12x+9
23) \(\dfrac{1}{x^2+4x+3}+\dfrac{1}{x^2+8x+15}+\dfrac{1}{x^2+12x+35}=\dfrac{1}{9}\)
24) \(\dfrac{1}{x^2+5x+6}+\dfrac{1}{x^2+7x+12}+\dfrac{1}{x^2+9x+20}+\dfrac{1}{x^2+11x+30}=\dfrac{1}{8}\)
25) \(\dfrac{x^2+2x+2}{x+1}+\dfrac{x^2+8x+20}{x+4}=\dfrac{x^2+4x+6}{x+2}+\dfrac{x^2+6x+12}{x+3}\)