=>\(\dfrac{60}{x-10}-\dfrac{60}{x}=\dfrac{10}{3}\)
=>\(\dfrac{6}{x-10}-\dfrac{6}{x}=\dfrac{1}{3}\)
=>\(\dfrac{6x-6x+60}{x^2-10x}=\dfrac{1}{3}\)
=>x^2-10x=180
=>x^2-10x-180=0
=>\(x=5\pm\sqrt{205}\)
giải pt
\(\frac{8}{x-8}+\frac{11}{x-11}=\frac{9}{x-9}+\frac{10}{x-10}\)
giải PT: \(\frac{10}{x+2}\)=1+\(\frac{1}{x-2}\)
Giải PT:
a/ \(\frac{3x}{x-2}-\frac{x}{x-5}+\frac{9x}{x^2-7x+10}=10\)
b/ \(\left(x-7\right)\left(x-2\right)\left(x-4\right)\left(x-5\right)=72\)
Giải PT:
a)\(\frac{x-5}{6}\)-\(\frac{3+x}{5}\)<\(\frac{2x+1}{-10}\)
b)\(\frac{x-4}{x+5}\)<0
c)\(\frac{x-2}{x+1}\)>2
\(\frac{x-90}{10}+\frac{x-76}{12}+\frac{x-58}{14}+\frac{x-36}{16}+\frac{x-15}{17}=15\)
Giải PT:
a)\(x^2\)-x-20=0
b)|x-2|+3x=5
c)|3-x|+|x+5|=10
d)\(\frac{x+3}{x-2}+\frac{x-1}{x+2}\)=2
Giải phương trình :
1 ) 5( x - 2 ) = 3x + 10
2 ) x2( x - 5 ) - 4x + 20 = 0
3 ) \(\frac{3x+1}{4}+\frac{8x-21}{20}=\frac{3\left(x+2\right)}{5}-2\)
4 ) \(\frac{3}{4x-20}+\frac{7}{6x+30}=\frac{15}{2x^2-50}\)
Giải PT:
a)3-4x(25-2x)=8x\(^2\)+x-30
b)(2x+1)(3x-2)=(5x-8)(2x+1)
c)\(\frac{x}{2x+1}+\frac{x+1}{2x+3}=\frac{x+1}{2x+1}+\frac{x-1}{2x+3}\)
d)||x+1|-1|=5
Giải pt
\(\frac{x+3}{x-3}-\frac{1}{x}=\frac{5x-3}{3x-x^2}\)
giải pt và bất pt
a) |x+5|=3x+1
b)\(\frac{3\left(x-1\right)}{4}+1\ge\frac{x+2}{3}\)
c)\(\frac{x-2}{x+2}-\frac{3}{x-2}=\frac{2\left(x-11\right)}{x^2-4}\)
