Bài 5: Phương trình chứa ẩn ở mẫu
Các câu hỏi tương tự
Giải các phương trình sau:
a) x^2+dfrac{4x^2}{left(x+2right)^2}12
b) dfrac{x^2}{3}+dfrac{48}{x^2}5left(dfrac{x}{3}+dfrac{4}{x}right)
c) left(dfrac{x}{x-1}right)^2+left(dfrac{x}{x+1}right)^2dfrac{10}{9}
d) left(dfrac{x-1}{x}right)^2+left(dfrac{x-1}{x-2}right)^2dfrac{40}{9}
e) x^2+left(dfrac{x}{x-1}right)^28
f) left(x^2+dfrac{1}{x^2}right)+5left(x+dfrac{1}{x}right)-120
g) x^3+dfrac{1}{x^3}6left(x+dfrac{1}{x}right)
Đọc tiếp
Giải các phương trình sau:
a) \(x^2+\dfrac{4x^2}{\left(x+2\right)^2}=12\)
b) \(\dfrac{x^2}{3}+\dfrac{48}{x^2}=5\left(\dfrac{x}{3}+\dfrac{4}{x}\right)\)
c) \(\left(\dfrac{x}{x-1}\right)^2+\left(\dfrac{x}{x+1}\right)^2=\dfrac{10}{9}\)
d) \(\left(\dfrac{x-1}{x}\right)^2+\left(\dfrac{x-1}{x-2}\right)^2=\dfrac{40}{9}\)
e) \(x^2+\left(\dfrac{x}{x-1}\right)^2=8\)
f) \(\left(x^2+\dfrac{1}{x^2}\right)+5\left(x+\dfrac{1}{x}\right)-12=0\)
g) \(x^3+\dfrac{1}{x^3}=6\left(x+\dfrac{1}{x}\right)\)
Giải các pt sau:
a)x^2+dfrac{4x^2}{left(x+2right)^2}12
b) dfrac{x^2}{3}+dfrac{48}{x^2}5left(dfrac{x}{3}+dfrac{4}{x}right)
c) left(dfrac{x}{x-1}right)^2+left(dfrac{x}{x+1}right)^2dfrac{10}{9}
d) left(dfrac{x-1}{x}right)^2+left(dfrac{x-1}{x-2}right)^2dfrac{40}{9}
e) x^2+left(dfrac{x}{x-1}right)^28
g) x^3+dfrac{1}{x^3}6left(x+dfrac{1}{x}right)
f) left(x^2+dfrac{1}{x^2}right)+5left(x+dfrac{1}{x}right)-120
Đọc tiếp
Giải các pt sau:
a)\(x^2+\dfrac{4x^2}{\left(x+2\right)^2}=12\)
b) \(\dfrac{x^2}{3}+\dfrac{48}{x^2}=5\left(\dfrac{x}{3}+\dfrac{4}{x}\right)\)
c) \(\left(\dfrac{x}{x-1}\right)^2+\left(\dfrac{x}{x+1}\right)^2=\dfrac{10}{9}\)
d) \(\left(\dfrac{x-1}{x}\right)^2+\left(\dfrac{x-1}{x-2}\right)^2=\dfrac{40}{9}\)
e) \(x^2+\left(\dfrac{x}{x-1}\right)^2=8\)
g) \(x^3+\dfrac{1}{x^3}=6\left(x+\dfrac{1}{x}\right)\)
f) \(\left(x^2+\dfrac{1}{x^2}\right)+5\left(x+\dfrac{1}{x}\right)-12=0\)
Giải các phương trình sau :
a) dfrac{1-6x}{x-2}+dfrac{9x+4}{x+2}dfrac{xleft(3x-2+1right)}{x^2-4}
b) 1+dfrac{x}{3-x}dfrac{5x}{left(x+2right)left(3-xright)}+dfrac{2}{x+2}
c) dfrac{2}{x-1}+dfrac{2x+3}{x^2+x+1}dfrac{left(2x-1right)left(2x+1right)}{x^3-1}
d) dfrac{x^3-left(x-1right)^3}{left(4x+3right)left(x-5right)}dfrac{7x-1}{4x+3}-dfrac{x}{x-5}
Đọc tiếp
Giải các phương trình sau :
a) \(\dfrac{1-6x}{x-2}+\dfrac{9x+4}{x+2}=\dfrac{x\left(3x-2+1\right)}{x^2-4}\)
b) \(1+\dfrac{x}{3-x}=\dfrac{5x}{\left(x+2\right)\left(3-x\right)}+\dfrac{2}{x+2}\)
c) \(\dfrac{2}{x-1}+\dfrac{2x+3}{x^2+x+1}=\dfrac{\left(2x-1\right)\left(2x+1\right)}{x^3-1}\)
d) \(\dfrac{x^3-\left(x-1\right)^3}{\left(4x+3\right)\left(x-5\right)}=\dfrac{7x-1}{4x+3}-\dfrac{x}{x-5}\)
Giải phương trình
\(1,\dfrac{x^2-2x-3}{x-1}+\dfrac{x^2-8x+20}{x-4}=\dfrac{x^2-4x+6}{x-2}+\dfrac{x^2-6x+12}{x-3}\)
\(2,\left(1+\dfrac{1}{1\cdot3}\right)\cdot\left(1+\dfrac{1}{2\cdot4}\right)\cdot\left(1+\dfrac{1}{3\cdot5}\right)\cdot...\cdot[1+\dfrac{1}{x\cdot\left(x+2\right)}]=\dfrac{31}{16}\left(x\in N\right)\)
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+1right)left(x+2right)}+dfrac{8}{left(x-1right)left(x+4right)}1
5/ 4left(x^3+dfrac{1}{x^3}right)13left(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}{...
Đọc tiếp
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 các pt sau:
a) x^2+dfrac{4x^2}{left(x+2right)^2}12
b) dfrac{x^2}{3}+dfrac{48}{x^2}5.left(dfrac{x}{3}+dfrac{4}{x}right)
c) left(dfrac{x}{x-1}right)^2+left(dfrac{x}{x+1}right)^2dfrac{10}{9}
d) left(dfrac{x-1}{x}right)^2+left(dfrac{x-1}{x-2}right)^2dfrac{40}{9}
e) x^2+left(dfrac{x}{x+1}right)^28
f) x^3+dfrac{1}{x^3}6left(x+dfrac{1}{x}right)
Đọc tiếp
Giải các pt sau:
a) \(x^2+\dfrac{4x^2}{\left(x+2\right)^2}=12\)
b) \(\dfrac{x^2}{3}+\dfrac{48}{x^2}=5.\left(\dfrac{x}{3}+\dfrac{4}{x}\right)\)
c) \(\left(\dfrac{x}{x-1}\right)^2+\left(\dfrac{x}{x+1}\right)^2=\dfrac{10}{9}\)
d) \(\left(\dfrac{x-1}{x}\right)^2+\left(\dfrac{x-1}{x-2}\right)^2=\dfrac{40}{9}\)
e) \(x^2+\left(\dfrac{x}{x+1}\right)^2=8\)
f) \(x^3+\dfrac{1}{x^3}=6\left(x+\dfrac{1}{x}\right)\)
Giải các phương trình sau :
a) \(\dfrac{2x+1}{x-1}=\dfrac{5\left(x-1\right)}{x+1}\)
b) \(\dfrac{x-3}{x-2}+\dfrac{x-2}{x-4}=-1\)
c) \(\dfrac{1}{x-1}+\dfrac{2x^2-5}{x^3-1}=\dfrac{4}{x^2+x+1}\)
d) \(\dfrac{13}{\left(x-3\right)\left(2x+7\right)}+\dfrac{1}{2x+7}=\dfrac{6}{x^2-9}\)
Giải các phương trình :
a) \(\dfrac{1}{x}+2=\left(\dfrac{1}{x}+2\right)\left(x^2+1\right)\)
b) \(\left(x+1+\dfrac{1}{x}\right)^2=\left(x-1-\dfrac{1}{x}\right)^2\)
Giải các phương trình :
a) dfrac{1}{x-1}-dfrac{3x^2}{x^3-1}dfrac{2x}{x^2+x+1}
b) dfrac{3}{left(x-1right)left(x-2right)}+dfrac{2}{left(x-3right)left(x-1right)}dfrac{1}{left(x-2right)left(x-3right)}
c) 1+dfrac{1}{x+2}dfrac{12}{8+x^3}
d) dfrac{13}{left(x-3right)left(2x+7right)}+dfrac{1}{2x+7}dfrac{6}{left(x-3right)left(x+3right)}
Đọc tiếp
Giải các phương trình :
a) \(\dfrac{1}{x-1}-\dfrac{3x^2}{x^3-1}=\dfrac{2x}{x^2+x+1}\)
b) \(\dfrac{3}{\left(x-1\right)\left(x-2\right)}+\dfrac{2}{\left(x-3\right)\left(x-1\right)}=\dfrac{1}{\left(x-2\right)\left(x-3\right)}\)
c) \(1+\dfrac{1}{x+2}=\dfrac{12}{8+x^3}\)
d) \(\dfrac{13}{\left(x-3\right)\left(2x+7\right)}+\dfrac{1}{2x+7}=\dfrac{6}{\left(x-3\right)\left(x+3\right)}\)