ĐKXĐ: \(x\ne\left\{1;3\right\}\)
\(\Leftrightarrow\frac{1}{x^2-4x+3}+x^2-4x+3+2=0\)
Đặt \(x^2-4x+3=t\ne0\)
\(\frac{1}{t}+t+2=0\Leftrightarrow t^2+2t+1=0\)
\(\Rightarrow t=-1\Leftrightarrow x^2-4x+3=-1\)
\(\Leftrightarrow\left(x-2\right)^2=0\Rightarrow x=2\)
\(\left(x-\frac{3}{4}\right)^2+\left(x-\frac{3}{4}\right)\left(x-\frac{1}{2}\right)=0\)
\(\left(4x-\frac{4x-3}{5}-\frac{2\left(x+3\right)}{7}\right)=0\)
Giup minh voi cac ban oi
Bài 1: Giải các phương trình sau:
a. (x - 1)2 (3x - 1)= 0
b.\(\left(\frac{2x}{3}+4\right)\left(2x-3\right)\left(\frac{x}{2}-1\right)=0\)
c.\(\left(x^2-4\right)\left(\frac{x}{4}-\frac{4x+5}{3}\right)=0\)
giải phương trình
1,\(\frac{2x+5}{6}-\frac{\left(2x+5\right)\left(x-10\right)}{3}=0\)
2,(4x-1)(x-5)=\(x^2\)-25
3,\(x^3-6x^2=x^2-3x\)
4,x\(\left(x+3\right)^3-\frac{x}{4}\left(x+3\right)\)=0
1,Giải PT sau
a,\(\frac{4}{5}x-3=\frac{1}{5}x\left(4x-15\right)\)
b,(x-3)-\(\frac{\left(x-3\right)\left(2x-5\right)}{6}=\frac{\left(x-3\right)\left(3-x\right)}{4}\)
c,\(\frac{\left(3x+1\right)\left(3x-2\right)}{3}+5\left(3x+1\right)=\) \(\frac{2\left(2x+1\right)\left(3x+1\right)}{3}+2x\left(3x+1\right)\)
Giải phương trình:
a) \(x^2-\left(x+3\right)\left(3x+1\right)=9\).
b) \(x^3+4x+5=0\).
c) \(\left(x+14\right)^3-\left(x+12\right)^3=1352\).
d) \(x^3+\left(x-3\right)^3=\left(2x-3\right)^3\).
e) \(x\left(x+1\right)\left(x+2\right)\left(x+3\right)=360\).
f) \(x^3+\left(x-2\right)\left(2x+1\right)=8\).
Giải các pt sau:
a. (x - 1)2 (3x - 1)= 0
b.\(\left(\frac{2x}{3}+4\right)\left(2x-3\right)\left(\frac{x}{2}-1\right)=0\)
c. (x2 - 4)\(\left(\frac{x}{4}-\frac{4x+5}{3}\right)=0\)
Mn giúp mk vs ạ
Tks nhiều
Giải Pt tích
a) (3x – 2)\(\frac{2\left(x+3\right)}{7}-\frac{4x-3}{5}\) =0
b) (3,3-11x)\(\left(\frac{7x+2}{5}+\frac{2\left(1-3x\right)}{3}\right)=0\)
giải các phương trình:
a)(x2+x+1)2-2x2-2x=5
b)\(\dfrac{1}{\left(x-1\right)\left(x-3\right)}\)+x2-4x+5=0
bài 1 : cac phương trinh sau
a,\(\left(2x-4\right)\left(\dfrac{7x+2}{5}+\dfrac{2\left(1-3x\right)}{3}\right)\)
b, \(\left(2x-1\right)^2+2\left(2-x\right)\left(2x-1\right)=0\)
c, \(x^3+1=x\left(x+1\right)\)
d, \(x^3-\dfrac{1}{4}x\)
e, \(4x^2-1=0\)
g, (\(2x-1)^2-\left(x+3\right)^3\)
h, \(x\left(x^2-5\right)^2-4x=0\)
i, \(x^2-4+\left(x-2\right)^2\)
k, (x-1)(5x+3)=(3x-8)(x-1)
l, \(x^3+x^2+x+1=0\)
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