\(\left|x+1\right|=\left|x\left(x+1\right)\right|\Rightarrow\left[{}\begin{matrix}x+1=x\left(x+1\right)\\x+1=-x\left(x+1\right)\end{matrix}\right.\)
\(\Leftrightarrow x=\pm1\) Vậy \(S=\left\{\pm1\right\}\)
Giải các phương trình sau:*
a) \(x^2\left(x+4,5\right)=13,5\)
b) \(\left(x-1\right)^3+x^3+\left(x+1\right)^3=\left(x+2\right)^3\)
c) \(x\left(x-1\right)\left(x+1\right)\left(x+2\right)=24\)
d) \(\left(x-7\right)\left(x-5\right)\left(x-4\right)\left(x-2\right)=72\)
Giải phương trình:
\(\frac{x-4}{x\left(x+2\right)}\) - \(\frac{1}{x\left(x-2\right)}\) = \(\frac{-2}{\left(x+2\right)\left(x-2\right)}\)
\(\frac{1}{x\left(x+3\right)}\) + \(\frac{1}{\left(x+3\right)\left(x+6\right)}\) + \(\frac{1}{\left(x+6\right)\left(x+9\right)}\) + \(\frac{1}{\left(x+9\right)\left(x+12\right)}\) = \(\frac{1}{16}\)
Giải phương trình: \(\frac{1}{\left(x+2\right)\left(x+3\right)}\) + \(\frac{1}{\left(x+3\right)\left(x+4\right)}\) + \(\frac{1}{\left(x+4\right)\left(x+5\right)}\) + \(\frac{1}{\left(x+5\right)\left(x+6\right)}\) = \(\frac{1}{15}\)
Giải phương trình
a) \(\left(x+2\right)^2-2\left(x-3\right)=\left(x+1\right)^2\)
b)\(3x\left(5-2x\right)-4\left(x+2\right)=6\left(x-2\right)^2\)
c)\(\left(12x-5\right)\left(4x-1\right)-\left(3x-7\right)\left(1+16x\right)=0\)
d)\(\left(2x+7\right)^2=\left(x+3\right)^2\)
Giải phương trình
\(\frac{\left(x+1\right)^3-\left(x-2\right)^3}{9}\)= \(\frac{\left(2x-3\right)^2+35}{4}\)
\(\frac{\left(x+3\right)\left(x-2\right)}{10}\)- \(\frac{\left(x+2\right)\left(x-1\right)}{14}\)=\(\frac{\left(x-3\right)\left(x+2\right)+4}{35}\)
Giúp vs mink cần gấp nha m.n
cảm ơn trc
a)\(4x-12=0\)
b)\(x\left(x+1\right)-\left(x+2\right)\left(x-3\right)=7\)
c)\(\dfrac{x-3}{x+1}=\dfrac{x^2}{x^2-1}\)
Giải các phương trình :
a) \(\dfrac{1}{2x-3}-\dfrac{3}{x\left(2x-3\right)}=\dfrac{5}{x}\)
b) \(\dfrac{x+2}{x-2}-\dfrac{1}{x}=\dfrac{2}{x\left(x-2\right)}\)
c) \(\dfrac{x+1}{x-2}+\dfrac{x-1}{x+2}=\dfrac{2\left(x^2+2\right)}{x^2-4}\)
d) \(\left(2x+3\right)\left(\dfrac{3x+8}{2-7x}+1\right)=\left(x-5\right)\left(\dfrac{3x+8}{2-7x}+1\right)\)
Giải các phương trình sau:
a) \(\left(x-3\right)\left(1-x\right)=\left(2x-3\right)\left(x+5\right)\)
b) \(\frac{3}{5x-1}+\frac{2}{3-5x}=\frac{4}{\left(1-5x\right)\left(x-3\right)}\)
c) \(\frac{x+1}{x^2+x+1}-\frac{x-1}{x^2-x-1}=\frac{3}{x\left(x^4+x^2+1\right)}\)
d) \(\frac{m-3}{m+3}-\frac{1-3m}{1+3m}-1\)
e)\(\frac{x}{3+x}-\frac{x}{x-3}=\frac{1}{9-x^2}\)
\(\frac{1}{2}\left(x+1\right)+\frac{1}{4}\left(x+3\right)=3-\frac{1}{3}\left(x+2\right)\)
