\(\dfrac{5}{8}-\dfrac{3}{8}:\left(-\dfrac{3}{4}\right)-\dfrac{1}{4}\)
\(=\dfrac{5}{8}-\dfrac{3}{8}\cdot\left(-\dfrac{3}{4}\right)-\dfrac{1}{4}\)
\(=\dfrac{5}{8}+2-\dfrac{1}{4}\)
\(=\dfrac{19}{8}\)
\(\dfrac{1}{\sqrt{1}-\sqrt{2}}-\dfrac{1}{\sqrt{3}-\sqrt{4}}+\dfrac{1}{\sqrt{4}-\sqrt{5}}-\dfrac{1}{\sqrt{5}-\sqrt{6}}+\dfrac{1}{\sqrt{6}-\sqrt{7}}-\dfrac{1}{\sqrt{7}-\sqrt{8}}+\dfrac{1}{\sqrt{8}-\sqrt{9}}\)
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
\(\left(\dfrac{3\sqrt{3}-2\sqrt{2}}{\sqrt{3}-\sqrt{2}}+\dfrac{3\sqrt{2}+2\sqrt{3}}{\sqrt{3}+\sqrt{2}}\right)\cdot\dfrac{5-2\sqrt{6}}{4}\)
\(-\dfrac{1}{4}--5+\dfrac{1}{3}-\dfrac{3}{2}-3-\dfrac{7}{4}+\dfrac{4}{3}=?\)
giải phương trình sau :
\(\left(\dfrac{x+6}{x-6}\right)\left(\dfrac{x+4}{x-4}\right)^2+\left(\dfrac{x-6}{x+6}\right)\left(\dfrac{x+9}{x-9}\right)^2=2\dfrac{x^2+36}{x^2-36}\)
\(\dfrac{5}{1\cdot6}+\dfrac{5}{6\cdot11}+...+\dfrac{5}{\left(5x+1\right)\left(5x+6\right)}=\dfrac{2015}{2016}\)
Bài 10: Xét tính đúng sai của các suy luận sau: (mệnh đề kéo theo)
1) x2 = 4 => x = 2;
2) x2 = 4 <=> x = 2;
3) \(\left|x-1\right|=1=>x=2\)
4) \(\sqrt{x-1}=2=>x-1=4\)
5) \(\dfrac{2x+1}{x}=4x=>2x+1=4x^2\)
6) x2+3x-4=0 => x=1
7) \(\sqrt{P\left(x\right)}=g\left(x\right)=>P\left(x\right)=\left(g\left(x\right)\right)^2\)
8) \(\dfrac{x^2+5x-6}{x-1}=2x-5< =>x=11\)
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 hệ pt giúp ạ
\(|^{\dfrac{5}{x-2}+\dfrac{3}{y}=8}_{\dfrac{2}{x-2}-\dfrac{3}{y}=1}\)
