=>(x^2+1)^2+x^2/x*(x^2+1)=5/2
=>\(\dfrac{\left(x^2+1\right)^2+x^2}{x\left(x^2+1\right)}=\dfrac{5}{2}\)
=>\(2\left(x^4+2x^2+1+x^2\right)=5\left(x^3+x\right)\)
=>2x^4+6x^2+2-5x^3-5x=0
=>2x^4-5x^3+6x^2-5x+2=0
=>2x^4-2x^3-3x^3+3x^2+3x^2-3x-2x+2=0
=>(x-1)(2x^3-3x^2+3x-2)=0
=>(x-1)(2x^3-2x^2-x^2+x+2x-2)=0
=>(x-1)^2*(2x^2-x+2)=0
=>x-1=0
=>x=1
Giải phương trình:
\(\dfrac{x+1}{x-2}-\dfrac{5}{x+2}=\dfrac{12}{x^2-4}+1\)
Giải các phương trình sau:
\(a.\dfrac{4x-5}{x-1}=2+\dfrac{x}{x-1}\)
\(b.\dfrac{7}{x+2}=\dfrac{3}{x-5}\)
\(c.\dfrac{14}{3x-12}-\dfrac{2+x}{x-4}=\dfrac{3}{8-2x}-\dfrac{5}{6}\)
\(d.\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}=\dfrac{16}{x^2-1}\)
giải phương trình chứa ẩn ở mẫu
a/\(\dfrac{5}{3}\)=\(\dfrac{5-3x}{2x}\)
b/\(\dfrac{x-4}{x+1}\)+\(\dfrac{x-1}{x}\)=2
c/\(\dfrac{x+2}{x-2}\)-\(\dfrac{1}{x}\)=\(\dfrac{2}{x\left(x-2\right)}\)
d/\(\dfrac{1}{x}\)+\(\dfrac{3}{x+1}\)=\(\dfrac{2}{x\left(x+1\right)}\)
e/\(\dfrac{x}{x-3}\)+\(\dfrac{x}{x+1}\)=\(\dfrac{2x}{\left(x-3\right)\left(x+1\right)}\)
f/\(\dfrac{2}{x-3}\)-\(\dfrac{4}{x+3}\)=\(\dfrac{5}{x^2-9}\)
Giải các phương trình sau
a) \(\dfrac{6x+1}{x^2-7x+10}\)+ \(\dfrac{5}{x-2}\)=\(\dfrac{3}{x-5}\)
b) \(\dfrac{2}{x^2-4}\)-\(\dfrac{x-1}{x\left(x-2\right)}\)+\(\dfrac{x-4}{x\left(x+2\right)}\)
c) \(\dfrac{1}{3-x}\)-\(\dfrac{1}{x+1}\)=\(\dfrac{x}{x-3}\)-\(\dfrac{\left(x-1\right)^2}{x^2-2x-3}\)
giải các phương trình sau
1, \(\dfrac{5x^2-12}{x^2-1}+\dfrac{3}{x-1}=\dfrac{5x}{x+1}\)
2, \(\dfrac{3}{x-5}-\dfrac{15-3x}{x^2-25}=\dfrac{3}{x+5}\)
3, \(\dfrac{-3}{x-4}-\dfrac{3-5x}{x^2-16}=\dfrac{1}{x+4}\)
Giải các phương trình sau
d) \(\dfrac{1}{x-2}\)-\(\dfrac{6}{x+3}\)=\(\dfrac{5}{6-x^2-x}\)
e) \(\dfrac{2}{x+2}\)-\(\dfrac{2x^2+16}{x^3+8}\)=\(\dfrac{5}{x^2-2x+4}\)
f) \(\dfrac{x+1}{x^2+x+1}\)-\(\dfrac{x-1}{x^2-x+1}\)=\(\dfrac{2\left(x+2\right)^2}{x^6-1}\)
giải các phương trình sau
1, \(\dfrac{3}{2+x}-\dfrac{x-1}{x^2-4}=\dfrac{2}{x-2}\)
2, \(\dfrac{x-5}{2x-3}-\dfrac{x}{2x+3}=\dfrac{1-6x}{4x^2-9}\)
Giải các phương trình sau:
\(j.\dfrac{1}{x-1}-\dfrac{7}{x-2}=\dfrac{1}{\left(x-1\right)\left(2-x\right)}\)
\(k.\dfrac{2x+19}{5x^2-5}-\dfrac{17}{x^2-1}=\dfrac{3}{1-x}\)
\(l.\dfrac{1}{x-1}-\dfrac{2x^2+5}{x^3-1}=\dfrac{4}{x^2+x+1}\)
giải phương trình sau
a, 6-4x=5(x+3)+3
b, \(\dfrac{x+3}{2}-1=\dfrac{x-1}{3}+\dfrac{x+5}{6}\)
c, (x-2)(2x+1) -3 (x-2) =0
d, \(\dfrac{2}{x^2-2x}+\dfrac{1}{x}=\dfrac{x+2}{x-2}\)
