\(\frac{x+1}{x+4}=\frac{x+2}{x+3}\)
=> (x+1)(x+3)=(x+4)(x+2)
=> x2+4x+3=x2+6x+8
=> x2-x2+4x-6x+3-8=0
=> -2x-5=0
=> -2x=5
=> x=5:(-2)
=> x=-2,5.
giải pt
\(\frac{x+1}{x-1}+\frac{x-2}{x+2}+\frac{x-3}{x+3}+\frac{x+4}{x-4}=4\)
Giải pt: \(\frac{x+1}{x-1}+\frac{x-2}{x+2}+\frac{x-3}{x+3}+\frac{x+4}{x-4}=4\)
giải pt
\(\frac{1}{x^2+5x+4}+\frac{1}{x^2+11x+28}+\frac{1}{x^2+17x+70}=\frac{3}{4x-2}\)
Giải hệ Pt: \(\int^{\frac{x+3}{x-1}-\frac{3}{y+1}=2}_{\frac{4}{x-1}+\frac{2}{y-1}=6}\)
Giải pt: \(\frac{3+x}{3x}=\sqrt{\frac{1}{9}+\frac{1}{x}\sqrt{\frac{4}{9}+\frac{2}{x^2}}}\)
Giải pt:\(\hept{\begin{cases}5|x-3|+\frac{12}{x+y}=\frac{21}{2}\\|3-x|+\frac{1}{x+y}=\frac{7}{4}\end{cases}}\)
Giải pt : \(\frac{3x-1}{x-1}-\frac{2x+5}{x+3}+\frac{4}{x^2+2x-3}=1\)
Giải pt: \(\frac{x^2}{3+\sqrt{9-x^2}}+\frac{1}{4\left(3-\sqrt{9-x^2}\right)}=1\)
giải pt: \(\sqrt{\frac{x^2+x+1}{x}}+\sqrt{\frac{x}{x^2+x+1}}=\frac{7}{4}\)
giải hệ pt sau
\(\hept{\begin{cases}\frac{1}{x}+\frac{2}{y}=\frac{1}{3}\\\frac{2}{x}-\frac{3}{y}=\frac{1}{4}\end{cases}}\)
