\(\Leftrightarrow x^2-4=2-x\)
\(\Leftrightarrow x^2+x-6=0\)
\(\Leftrightarrow x^2+3x-2x-6=0\)
\(\Leftrightarrow\left(x+3\right)\left(x-2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+3=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-3\\x=2\end{matrix}\right.\)
1,Giải PT
a,\(\frac{3}{1-4x}=\frac{2}{4x+1}-\frac{3+6x}{16x^2-1}\)
b,\(\frac{5-x}{4x^2-8x}+\frac{7}{8x}=\frac{x-1}{2x\left(x-2\right)}+\frac{1}{8x-16}\)
c,\(\frac{x+1}{x^2+x+1}-\frac{x-1}{x^2-x+1}=\frac{3}{x\left(x^4+x^2+1\right)}\)
1. C/m pt sau vô nghiệm
x^4 - 2x^3 + 3x^2 - 2x + 1 =0
2.giải pt
(x^2-4)^2=8x + 1
giải pt \( \left(x^3-x^2\right)-4x^2+8x-4=0\)
giải pt sau
a) \(x^2-16+64=0\)
b)\(4x^2=36x-81\)
c) \(\left(x-\sqrt{5}\right)\left(x+\sqrt{5}\right)=\left(\sqrt{x}-\sqrt{3}\right)\left(\sqrt{x}+\sqrt{3}\right)\)
d) \(x^2-2x+1=4\)
Giải pt:
\(\dfrac{x^2+4x+6}{x+2}+\dfrac{x^2+16x+72}{x+8}=\dfrac{x^2+8x+20}{x+4}+\dfrac{x^2+12x+42}{x+6}\)
bài 3,Giải PT
a,\(\frac{3}{2}.\left(x-\frac{5}{4}\right)-\frac{5}{8}=x\\ \)
b,\(\frac{7x-1}{6}+2x=\frac{16-x}{5}\)
c,\(\frac{10x+3}{12}=1+\frac{6+8x}{9}\)
Giải các phương trình:
\(a,\frac{2x+1}{x^2-5x+4}+\frac{5}{x-1}=\frac{2}{x-4}\)
\(b,\frac{7}{8x}-\frac{x-5}{4x^2-8x}=\frac{x-1}{2x\left(x-2\right)}+\frac{1}{8x-16}\)
giải pt \(x^2-5x+1+\sqrt{x^4+1}=0\)
Giải các phương trình sau:
1, \(\sqrt{x-2}-3\sqrt{x^2-4}=0\)
2, \(x+\sqrt{x-1}=13\)
3, \(\sqrt{x}-\sqrt{x-1}-\sqrt{x-4}+\sqrt{x+9}=0\)
4, \(\sqrt{x+3}=5-\sqrt{x-2}\)
5, \(\sqrt{16x+17}=8x-33\)
