bài 1:

a, (1-\(\frac{3}{6}\)²)+/\(\frac{-7}{23}\)/+(-\(\frac{4}{25}\))

b, \(\sqrt{25}\)-\(\sqrt{100}\)+\(\sqrt{36}\)

c,(\(\frac{-31}{37}\))⁵.(\(\frac{37}{62}\))⁵

bài 2:

a,(x-\(\frac{3}{5}\))²=4

b,2^x+2^x+3=144

xg trc tick cho

Bài 1: Thực hiện phép tính:

a) \(\frac{2}{3}\)+ \(\frac{1}{5}\)-\(\frac{1}{6}\)

b)\(\frac{5}{6}\)- \(\frac{1}{8}\)

c) (-11).\(\frac{9}{22}\)

d)\(\frac{5}{7}\). \(\frac{19}{23}\)+ \(\frac{5}{7}\). \(\frac{5}{23}\)- \(\frac{5}{7}\). \(\frac{1}{23}\)

e) \(\frac{-17}{25}\). \(\frac{20}{33}\)+ \(\frac{-17}{25}\). \(\frac{13}{33}\)+ \(\frac{-3}{25}\)

g) \(\frac{5}{11}\)+ \(\frac{6}{11}\)

Bài 2: Tìm x biết:

a) \(\frac{3}{4}\)+ x =\(\frac{11}{12}\)

b) x - \(\frac{11}{12}\)=0,5

Tìm x\(\in\)Z biết :

a \(\frac{2}{2\times3}\)+ \(\frac{2}{3\times4}\)+ \(\frac{2}{4\times5}\)+  ... + \(\frac{2}{X\left(X+1\right)}\) = \(\frac{2007}{2009}\)

b \(\frac{1}{10}\)+ \(\frac{1}{40}\) + \(\frac{1}{88}\) + ... +  \(\frac{1}{\left(3x+2\right)\left(3x+5\right)}\) = \(\frac{4}{25}\)

                                                                                  Giải

a \(\frac{2}{2\times3}\)+ \(\frac{2}{3\times4}\) + ... + \(\frac{2}{x\left(x-1\right)}\)= \(\frac{2007}{2009}\)

\(\Leftrightarrow\)2(\(\frac{1}{2}\) \(-\) \(\frac{1}{3}\) + \(\frac{1}{3}\) \(-\)\(\frac{1}{4}\) + ... + \(\frac{1}{x}\) \(-\) \(\frac{1}{x+1}\))  = \(\frac{2007}{2009}\) \(\Leftrightarrow\)\(\frac{1}{2}\) \(-\)\(\frac{1}{x+1}\)= \(\frac{2007}{4018}\)

\(\Leftrightarrow\)\(\frac{1}{x+1}\)= \(\frac{1}{2}\)\(-\)\(\frac{2007}{4018}\) \(\Leftrightarrow\) \(\frac{1}{x+1}\) =\(\frac{1}{2009}\)\(\Leftrightarrow\)x + 1 = 2009 \(\Leftrightarrow\)x = 2008

b \(\frac{1}{10}\) + \(\frac{1}{40}\) + \(\frac{1}{88}\) + ... + \(\frac{1}{\left(3x+2\right)\left(3x+5\right)}\)= \(\frac{4}{25}\)

\(\Leftrightarrow\) \(\frac{1}{2\times5}\) + \(\frac{1}{5\times8}\) + \(\frac{1}{8\times11}\) + ... + \(\frac{1}{\left(3x+2\right)\left(3x+5\right)}\) = \(\frac{4}{25}\)

\(\Leftrightarrow\) \(\frac{1}{3}\)(\(\frac{3}{2\times5}\) + \(\frac{3}{5\times8}\) + \(\frac{3}{8\times11}\) + ... + \(\frac{3}{\left(3x+2\right)\left(3x+5\right)}\) ) = \(\frac{4}{25}\)

\(\Leftrightarrow\) \(\frac{1}{3}\)(\(\frac{1}{2}\)\(-\)\(\frac{1}{5}\) + \(\frac{1}{5}\) \(-\)\(\frac{1}{8}\)+ ...+  \(\frac{1}{3x+2}\) \(-\)\(\frac{1}{3x+5}\)) =  \(\frac{4}{25}\)\(\Leftrightarrow\)\(\frac{1}{2}\)\(-\)\(\frac{1}{3x+5}\)=\(\frac{12}{25}\)

\(\Leftrightarrow\)\(\frac{1}{3x+5}\) =\(\frac{1}{2}\)\(-\)\(\frac{12}{25}\) \(\Leftrightarrow\) 3x + 5 = 50 \(\Leftrightarrow\)3x = 45 \(\Leftrightarrow\) x = 15                                                                    Các bạn có cách làm giống mình thì trả lời nhé               

Tìm x:

a) 5\(\frac{4}{7}\): x =13

b) \(\frac{4}{7}\)x=\(\frac{9}{8}\)-0,125

c) \(\frac{2}{3}\)x-\(\frac{1}{2}\)=\(\frac{1}{10}\)

d) \(\frac{1}{3}\)x-0,5x = -1\(\frac{1}{4}\)

e) \(\frac{-5}{6}\)- x = \(\frac{7}{12}\)+ \(\frac{-1}{3}\)

f) \(\frac{x+2}{3}\)=\(\frac{x-2}{2}\)

g) \(\frac{2}{5}\)- \(\frac{1}{5}\): x = -25%

h) (2\(\frac{4}{5}\)x - 50): \(\frac{2}{3}\)= 51

i) \(\frac{2}{3}\)x -\(\frac{1}{2}\)x =\(\frac{5}{12}\)

j) \(\frac{7}{2}\)- |2x -\(\frac{3}{4}\)| = -\(\frac{7}{4}\)

k) (x : 6\(\frac{2}{7}\)+\(\frac{3}{7}\)) :2\(\frac{1}{5}\)-\(\frac{3}{7}\)= -2

l) (x +\(\frac{1}{5}\))² +\(\frac{17}{25}\)=\(\frac{26}{25}\)

m) (x +\(\frac{1}{2}\))(\(\frac{2}{3}\)- 2x) =0

Mọi người ơi giúp mình nhanh nha.

Ai giúp mình thì mình sẽ tick cho.

Thực hiện phép tính ( tính nhanh nếu có thể )
a) 0.75 - \(\frac{43}{80}\): (\(\frac{-4}{5}\)+ 2,5 . \(\frac{3}{4}\))

b) (-7 + |13| ) - ( 13 - |-7| -25 ) - ( 25 +|-10| - 9 )

c) \(1\frac{13}{15}\)+ 3. (0.5)\(^2\).3 + (\(\frac{8}{15}\)- \(1\frac{19}{60}\)) : \(1\frac{23}{24}\)

Bài 1 : Cho phép tính

A = (\(\frac{1}{25}\)+ \(\frac{25}{1}\)) x ( \(\frac{2}{24}\)+ \(\frac{24}{2}\)) x ..... x ( \(\frac{25}{1}\)+ \(\frac{1}{25}\)) + 1 x 2 x 3 x 4 x 5 x ..... x 1000

a) Tính A.

b) A là 1 phân số hay số tự nhiên.

c) So sánh: \(\frac{A+1}{A}\)và \(\frac{A}{A-1}\).

Câu 1 : Tính

a) \(\frac{2}{3}\)+\(\frac{1}{3}\)x ( \(\frac{-4}{9}\)+\(\frac{5}{6}\)) : \(\frac{7}{12}\)

b) S = \(\frac{1}{2}\)x \(\frac{1}{3}\)+\(\frac{1}{3}\)x\(\frac{1}{4}\)+\(\frac{1}{4}\)x\(\frac{1}{5}\)+\(\frac{1}{5}\)x\(\frac{1}{6}\)+\(\frac{1}{6}\)x\(\frac{1}{7}\)+\(\frac{1}{7}\)x\(\frac{1}{8}\)+\(\frac{1}{8}\)x\(\frac{1}{9}\)

c) A = \(\frac{5}{5.7}\)+\(\frac{5}{7.9}\)+...+\(\frac{5}{59.61}\)

d) M = \(\frac{3}{4}\)x\(\frac{8}{9}\)x\(\frac{15}{16}\)x\(\frac{24}{25}\)x...x\(\frac{99}{100}\)

e) N = \(\frac{1}{2}\)x\(\frac{-2}{3}\)x\(\frac{3}{4}\)x\(\frac{-4}{5}\)x\(\frac{5}{6}\)x\(\frac{-6}{7}\)x...x\(\frac{-98}{99}\)x\(\frac{99}{100}\)

[ Các bạn trả lời cách tính nhanh mà đúng nhá :)) ]

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