(x2 - 1) (x2 + 4x + 3) = 192
<=> (x + 1)(x - 1)(x + 3)(x + 1) = 192
<=>(x2 + 2x − 3)(x2 + 2x + 1) = 192 (*)
Đặt t = x2 + 2x + 1
(*) => (t − 4)t = 192
<=> t2 − 4t − 192 = 0
<=> (t + 12)(t − 16) = 0
<=> t + 12 = 0 hoặc t - 16 = 0
<=>t = -12 hoặc t = 16
=> x
Bài 1:Giải phương trình
a)\(10x^2-5x\left(2x+3\right)=15\)
b)\(3x-7-\left(3-4x\right)\left(2x+1\right)=4x\left(2x-7\right)\)
c)\(\left(4x-5\right)^2-\left(7-2x\right)=4\left(2x-4\right)^2+6x\)
Bài 2:Giải phương trình
a)\(\frac{3\left(x-1\right)}{2}+4=\frac{2x}{3}+\frac{4-5x}{6}\)
b)\(\frac{4-x}{7}-\frac{1}{7}\left(\frac{7+3x}{9}+\frac{5-2x}{2}\right)=4-\frac{4x}{3}\)
c)\(\frac{2}{9}\left(2x-5\right)-\frac{5}{3}\left[\left(x-2\right)-\frac{7}{12}\right]=\frac{3}{4}\left(x-3\right)\)
Bài 3:Giải phương trình
a)\(\left(x-6\right)\left(2x-5\right)\left(3x+9\right)=0\)
b)\(2x\left(x-3\right)+5\left(x-3\right)=0\)
c)\(\left(x^2-4\right)-\left(x-2\right)\left(3-2x\right)=0\)
Bài 4:Tìm m để phương trình sau có nghiệm bằng 7:\(\left(2m-5\right)x-2m^2+8=43\)
Bài 5:Giải phương trình
a)\(\left(2x-1\right)^2-\left(2x+1\right)^2=0\)
b)\(\frac{1}{27}\left(x-3\right)^3-\frac{1}{125}\left(x-5\right)^3=0\)
giải phương trình
1)\(2\left(x-3\right)+1=2\left(x+1\right)-9\)
2)\(\dfrac{5-x}{2}=\dfrac{3x-4}{6}\)
3) \(\left(x-1\right)^2+\left(x+2\right)\left(x-2\right)=\left(2x+1\right)\left(x-3\right)\)
4)\(\left(x+5\right)\left(x-1\right)-\left(x+1\right)\left(x+2\right)=1\)
5) \(\dfrac{6x-1}{15}-\dfrac{x}{5}=\dfrac{2x}{3}\)
6)\(\dfrac{5\left(x-2\right)}{2}-\dfrac{x+5}{3}=1-\dfrac{4\left(x-3\right)}{5}\)
Giải các PT sau
a,\(\left(9^2-4\right)\left(x+1\right)=\left(3x+2\right)\left(x^2-1\right)\)
b,\(\left(x-1\right)^2-1+x^2=\left(1-x\right)\left(x+3\right)\)
c,\(\left(x^2-1\right)\left(x+2\right)\left(x-3\right)=\left(x-1\right)\left(x^2-4\right)\left(x+5\right)\)
d,\(x^4+x^3+x+1=0\)
e,\(x^3-7x+6=0\)
f,\(x^4-4x^3+12x-9=0\)
g,\(x^5-5x^3+4x=0\)
h,\(x^4-4x^3+3x^2+4x-4=0\)
giải phương trình \(\dfrac{1}{x+1}-\dfrac{5}{x-2}=\dfrac{15}{\left(x-1\right)\left(2-x\right)}\)
Giải các phương trình sau :
a) \(x^4-\left(x^2+2\right)=4\)
b) \(\frac{x+2}{x-2}-\frac{1}{x}=\frac{2}{x\left(x-2\right)}\)
c) \(\frac{2x-10}{4}=5+\frac{2-3x}{6}\)
d) \(\frac{2x}{\left(x-3\right)\left(x+1\right)}+\frac{x}{2\left(x-3\right)}=\frac{x}{2x+2}\)
e) \(\left(\frac{x+2}{x}\right)^2+\left(\frac{x}{x+2}\right)^2=2\)
f) \(\left(x-a\right)\left(x+a\right)+2x+a^2=-1\)
g) \(\frac{x-a}{2a}+\frac{x-2a}{3a}+\frac{x-3a}{4a}+\frac{x-4a}{5a}=-4\)
h) \(\left(x^2-3x+4\right)^2=\left(x^2-2x+3\right)\left(x^2-4x+5\right)\)
i) \(\frac{x^2-4x+12}{x^2-4x+6}=x^2-4x+8\)
Giải các phương trình
1, \(\dfrac{1}{x}-\dfrac{2}{x+1}=\dfrac{3}{x^2+x}\)
2, \(\dfrac{x+2}{x-2}-\dfrac{1}{x}=\dfrac{2}{x\left(x-2\right)}\)
3, \(\dfrac{x-2}{x+2}-\dfrac{3}{x-2}=\dfrac{2\left(x-11\right)}{x^2-4}\)
Giải các phương trình
1,\(x\left(x-1\right)=2\left(x-1\right)\)
2, \(\left(x+2\right)\left(2x-3\right)=x^2-4\)
3, \(x^2+3x+2=0\)
4, \(5x^2+5x+3=0\)
5, \(x^3+x^2-12x=0\)
a) \(\left(x^2-16\right)\left(\dfrac{x}{4}-\dfrac{4x+5}{3}\right)=0\)
b) \(\left(4x-1\right)\left(x+5\right)=x^2-25\)
c) \(x\left(x+3\right)^3-\dfrac{x}{4}\left(x+3\right)=0\)
Giải phương trình:
\(3x\times\left(1-x\right)+\left(x+3\right)\times\left(x-2\right)=-2\times\left(x-4\right)^2\)
