-\(\dfrac{1}{4}\)- -5+\(\dfrac{1}{3}\)-\(\dfrac{3}{2}\)-3-\(\dfrac{7}{4}\)+\(\dfrac{4}{3}\)
=-\(\dfrac{1}{4}\)+5+\(\dfrac{1}{3}\)-\(\dfrac{3}{2}\)-3-\(\dfrac{7}{4}\)+\(\dfrac{4}{3}\)
=-(\(\dfrac{1}{4}\)+\(\dfrac{7}{4}\))+(5-3)+(\(\dfrac{1}{3}\)+\(\dfrac{4}{3}\))-\(\dfrac{3}{2}\)
=-2+2+\(\dfrac{5}{3}\)-\(\dfrac{3}{2}\)
=\(\dfrac{1}{6}\)
\(\dfrac{1}{\sqrt{1}-\sqrt{2}}-\dfrac{1}{\sqrt{3}-\sqrt{4}}+\dfrac{1}{\sqrt{4}-\sqrt{5}}-\dfrac{1}{\sqrt{5}-\sqrt{6}}+\dfrac{1}{\sqrt{6}-\sqrt{7}}-\dfrac{1}{\sqrt{7}-\sqrt{8}}+\dfrac{1}{\sqrt{8}-\sqrt{9}}\)
c.\(\dfrac{5}{8}-\dfrac{3}{8}:\left(-\dfrac{3}{4}\right)-\dfrac{1}{4}\)
a)\(3x+\dfrac{4}{9}=2x+\dfrac{11}{18}\)
b)\(\dfrac{7}{12}+\dfrac{2}{3}:x=\dfrac{5}{8}\)
c)\(|2,5-x|-\dfrac{1}{5}=1,2\)
d)\(2^{x+1}+2^{x+2}=192\)
Tim x
\(\left(\dfrac{3\sqrt{3}-2\sqrt{2}}{\sqrt{3}-\sqrt{2}}+\dfrac{3\sqrt{2}+2\sqrt{3}}{\sqrt{3}+\sqrt{2}}\right)\cdot\dfrac{5-2\sqrt{6}}{4}\)
Giải hệ pt giúp ạ
\(|^{\dfrac{5}{x-2}+\dfrac{3}{y}=8}_{\dfrac{2}{x-2}-\dfrac{3}{y}=1}\)
giải phương trình :
\(\dfrac{1}{2x^2-x+1}+\dfrac{3}{2x^2-x+3}=\dfrac{10}{2x^2-10x+7}\)
Cho a,b,c >0 và thoả \(a+b+c\ge abc\)
CMR: có ít nhất 2 trong 3 biểu thức sau đây là đúng:
\(\dfrac{2}{a}+\dfrac{3}{b}+\dfrac{6}{c}\ge6\)
\(\dfrac{2}{b}+\dfrac{3}{c}+\dfrac{6}{a}\ge6\)
\(\dfrac{2}{c}+\dfrac{3}{a}+\dfrac{6}{b}\ge6\)
giải phương trình sau :
\(\dfrac{x\left(x+1\right)\left(x+4\right)\left(x+3\right)+1}{\left(x+2\right)^2\left(x+5\right)\left(x-1\right)+2}=3\)
giải phương trình sau :
\(\left(\dfrac{x+6}{x-6}\right)\left(\dfrac{x+4}{x-4}\right)^2+\left(\dfrac{x-6}{x+6}\right)\left(\dfrac{x+9}{x-9}\right)^2=2\dfrac{x^2+36}{x^2-36}\)