Bài 5: Phương trình chứa ẩn ở mẫu
Các câu hỏi tương tự
Giai phuong trinh:
a)\(\frac{4+9x}{9x^21}=\frac{3}{3x+1}-\frac{2}{1-3x}\)
b)\(\frac{2x-3}{x+1}+\frac{x^2-5x+10}{\left(x+1\right)\left(x-3\right)}=\frac{3x-5}{x-3}\)
c)\(\frac{x\left(x+4\right)}{2x-3}=\frac{x^2+4}{2x-3}+1-\frac{2}{3-2x}\)
d)\(\frac{1}{x+2}+\frac{x}{x-3}=1-\frac{5x}{\left(x+2\right)\left(3-x\right)}-\frac{1}{x+2}\)
\(1.\frac{1}{x^2-2x+2}+\frac{2}{x^2-2x+3}=\frac{6}{x^2-2x+4}
\)
2.\(\frac{2x^4}{\left(x+1\right)^2}-\frac{5x^2}{x+1}+2=0\)
3.\(\left(x+\frac{1}{x}\right)^2-6\left(x+\frac{1}{x}\right)+8=0\)
4.\(\left(x^2+\frac{1}{x^2}\right)-4\left(x+\frac{1}{x}\right)+6=0\)
5.\(\frac{2x}{3x^2-x+2}-\frac{7x}{3x^2+5x+2}=1\)
26 ,giải phương trình.
a,\(\frac{1}{x-1}+\frac{2}{x^2+x+1}=\frac{3x^2}{x^3-1}\)
b,\(\frac{x}{2\left(x-3\right)}+\frac{x}{2\left(x+1\right)}=\frac{2x}{\left(x+1\right)\left(x-3\right)}\)
c,\(\frac{x-1}{x+2}+\frac{x-2}{x+1}=\frac{2\left(x^2+2\right)}{x^2-4}\)
d,\(\frac{3}{5x-1}+\frac{2}{3-5x}=\frac{4}{\left(1-5x\right)\left(x-3\right)}\)
Giải phương trình:
a, \(\frac{2}{\left(1-3x\right)\left(3x+11\right)}=\frac{1}{9x^2-6x+1}-\frac{3}{\left(3x+11\right)^2}\)
b,\(\frac{x+1}{x^2+x+1}-\frac{x-1}{x^1-x+1}=\frac{3}{x\left(x^4+x^2+1\right)}\)
a) \(\frac{1}{2x-3}-\frac{3}{x\left(2x-3\right)}=\frac{5}{x}\)
b)\(\frac{x+2}{x-2}-\frac{1}{x}=\frac{2}{x\left(x-2\right)}\)
c)\(\frac{x +1}{x-2}+\frac{x-1}{x +2}=\frac{2\left(x^{2^{ }}+2\right)}{x^2-4}\)
d)(2x+3)\(\left(\frac{3x+8}{2-7x}+1\right)=\left(x-5\right)\left(\frac{3x+8}{2-7x}+1\right)\)
a. frac{5x}{3x+2}+1frac{-6x}{x+1}
b.frac{x+3}{x+1}+frac{x-2}{x}2
c.frac{3x-2}{x+7}frac{6x+1}{2x-3}
d.frac{1}{2x-3}-frac{3}{xleft(2x-3right)}frac{5}{x}
e.frac{x+1}{x-2}+frac{x-1}{x+2}frac{2left(x^2+2right)}{x^2-4}
Đọc tiếp
a. \(\frac{5x}{3x+2}\)+1=\(\frac{-6x}{x+1}\)
b.\(\frac{x+3}{x+1}\)+\(\frac{x-2}{x}\)=2
c.\(\frac{3x-2}{x+7}\)=\(\frac{6x+1}{2x-3}\)
d.\(\frac{1}{2x-3}\)-\(\frac{3}{x\left(2x-3\right)}\)=\(\frac{5}{x}\)
e.\(\frac{x+1}{x-2}\)+\(\frac{x-1}{x+2}\)=\(\frac{2\left(x^2+2\right)}{x^2-4}\)
Giari các phương trình sau.
a. frac{1}{x}+frac{1}{x+10}frac{1}{12}
b. frac{x+3}{x-3}-frac{1}{x}frac{3}{xleft(x-3right)}
c. frac{3}{x+2}-frac{2}{x-2}+frac{8}{x^2-4}0
d. frac{3}{x+2}-frac{2}{x-3}frac{8}{left(x-3right)left(x+2right)}
e. frac{x}{2x+6}-frac{x}{2x+2}frac{3x+2}{left(x+1right)left(x+3right)}
f. frac{x}{x+1}-frac{2x-3}{1-x}frac{3x^2+5}{x^2-1}
g. frac{5}{x+7}+frac{8}{2x+14}frac{3}{2}
h. frac{x-1}{x}-frac{1}{x+1}frac{2x-1}{x^2+x}
Đọc tiếp
Giari các phương trình sau.
a. \(\frac{1}{x}+\frac{1}{x+10}=\frac{1}{12}\)
b. \(\frac{x+3}{x-3}-\frac{1}{x}=\frac{3}{x\left(x-3\right)}\)
c. \(\frac{3}{x+2}-\frac{2}{x-2}+\frac{8}{x^2-4}=0\)
d. \(\frac{3}{x+2}-\frac{2}{x-3}=\frac{8}{\left(x-3\right)\left(x+2\right)}\)
e. \(\frac{x}{2x+6}-\frac{x}{2x+2}=\frac{3x+2}{\left(x+1\right)\left(x+3\right)}\)
f. \(\frac{x}{x+1}-\frac{2x-3}{1-x}=\frac{3x^2+5}{x^2-1}\)
g. \(\frac{5}{x+7}+\frac{8}{2x+14}=\frac{3}{2}\)
h. \(\frac{x-1}{x}-\frac{1}{x+1}=\frac{2x-1}{x^2+x}\)
\(1+\frac{45}{y^2-8y+16}=\frac{14}{y-4}\)
\(\frac{5}{x-1}-\frac{4}{3-6x+3x^2}=3\)
\(\frac{2x-5}{x-5}=3\)
\(\frac{x^2-12}{x}=x+\frac{3}{2}\)
\(\frac{\left(x^2-4\right)-\left(3x-6\right)}{x-2}=0\)
\(\frac{8}{2x+1}=2x-1\)
Giải phương trình :a) \(x^3+\frac{x^3}{\left(x-1\right)^3}+\frac{3x^2}{x-1}-2=0\)
b) \(\frac{1}{x^2-3}+\frac{1}{2x^2-9}+\frac{1}{3x^2-6}=\frac{1}{6x^2-18}\)