\(\frac{4}{3}B=-1+\frac{3}{4}-\left(\frac{3}{4}\right)^2+...+\left(\frac{3}{4}\right)^{99}\)

\(B=-\frac{3}{4}+\left(\frac{3}{4}\right)^2-\left(\frac{3}{4}\right)^3+...+\left(\frac{3}{4}\right)^{100}\)

\(\Rightarrow\)\(\frac{7}{3}B=-1+\left(\frac{3}{4}\right)^{100}\Rightarrow B=\frac{\left(\frac{3}{4}\right)^{100}-1}{\frac{7}{3}}=\frac{3\left[\left(\frac{3}{4}\right)^{100}-1\right]}{7}\)

Như vầy đủ gọn chưa bạn?

\(=\left(-0,37+\frac{14}{8}\right).\left(-1.1\right)-\left(2,63-\frac{9}{24}\right).\left(-1,1\right)\)

\(=-1,1.\left(-0,37+\frac{14}{8}-2,63+\frac{9}{24}\right)\)

\(=-1,1.\left[\left(-0,37-2,63\right)+\left(\frac{14}{8}+\frac{9}{24}\right)\right]\)

\(=-1,1.\left[\left(-3\right)+\left(\frac{14}{8}+\frac{3}{8}\right)\right]\)

\(=-1,1.\left(-3+\frac{17}{8}\right)\)

\(=-1,1.\left(-\frac{7}{8}\right)\)

\(=\frac{77}{80}\)

=77\80

(2,5x - 4/3)² - 5/6 = -7/18

=> (2,5x - 4/3)² = -7/18 + 5/6

=> (2,5x - 4/3)² = 4/9

=> (2,5x - 4/3)² = (2/3)²

=> \(\orbr{\begin{cases}2,5x-\frac{4}{3}=\frac{2}{3}\\2,5x-\frac{4}{3}=-\frac{2}{3}\end{cases}}\)

=> \(\orbr{\begin{cases}x=\frac{4}{5}\\x=\frac{4}{15}\end{cases}}\)

\(\left(2,5x-\frac{4}{3}\right)^2-\frac{5}{6}=-\frac{7}{18}\)

\(\left(2,5x-\frac{4}{3}\right)^2=-\frac{7}{18}+\frac{5}{6}\)

\(\left(2,5x-\frac{4}{3}\right)^2=\frac{4}{9}\)

\(\Rightarrow\orbr{\begin{cases}x=\frac{4}{5}\\x=\frac{4}{15}\end{cases}}\)

\(\frac{7}{6}+\frac{5}{6}:5-\frac{3}{8}.\left(-3\right)^2\)

\(=\frac{7}{6}+\frac{5}{6}.\frac{1}{5}-\frac{3}{8}.9\)

\(=\frac{7}{6}+\frac{1}{6}-\frac{27}{8}\)

\(=\frac{8}{6}-\frac{27}{8}\)

\(=\frac{32}{24}-\frac{81}{24}\)

\(=\frac{-49}{24}\)

Chúc bạn học tốt !!! 

(-0,37+14/8).-11/10-(2,63-9/24).(-1,1)=77/80

ok bạn ơi

\(78-\left(x-25\right).3\frac{1}{3}=73\)

\(78-\left(x-25\right)\cdot\frac{10}{3}=73\)

\(\left(x-25\right)\cdot\frac{10}{3}=78-73\)

\(\left(x-25\right)\cdot\frac{10}{3}=5\)

\(x-25=5:\frac{10}{3}\)

\(x-25=1,5\)

\(x=25+1,5=26,5\)

19x64+76x34

=(19x4)x16+76x34

=76x(16+34)

=76x50

=3800

a) 19 x 64 + 76 x 34

= 19 x 64 + 19 x 4 x 34

= 19 x ( 64 + 4 x 34 )

= 19 x 200

= 3800

k cho mình rùi mình giải bài b) cho

-5 x ( x + 1/5 ) - 1/2 x ( x - 2/3 ) = 3/2x - 5/6

<=> -5x^2 - x - 1/2 x^2 + 1/3 = 3/2x - 5/6

<=> -3x^2 - x + 1/3 = 3/2x - 5/6

<=> -3x^2  - 5/2 x + 7/6 = 0

<=> ( 3x - 1 ) ( 6x + 7 ) = 0

=> x = 1/3 ; x = -7/6 .

Vậy x = 1/3 , x = -7/6.

Ta có GTTĐ luôn lớn hơn hoặc bằng 0, mà theo đề bài

=> +) x + y - 1 = 0

x + y = 1

=> +) x - y - 2 = 0

x - y = 2

Số x là : ( 2 + 1 ) : 2 = 3/2

Số y là : ( 2 - 1 ) : 2 = 1/2

Vậy,.........