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( 3x - 24 ) . 73 = 2 . 74
( 3x - 24 ) = 2 . 74 : 73
( 3x - 24 ) = 2 . 7
3x - 24 = 14
3x = 14 + 24
3x = 14 + 16
3x = 30
x = 10
- Hok T -

\(\frac{4}{3}B=-1+\frac{3}{4}-\left(\frac{3}{4}\right)^2+...+\left(\frac{3}{4}\right)^{99}\)
\(B=-\frac{3}{4}+\left(\frac{3}{4}\right)^2-\left(\frac{3}{4}\right)^3+...+\left(\frac{3}{4}\right)^{100}\)
\(\Rightarrow\)\(\frac{7}{3}B=-1+\left(\frac{3}{4}\right)^{100}\Rightarrow B=\frac{\left(\frac{3}{4}\right)^{100}-1}{\frac{7}{3}}=\frac{3\left[\left(\frac{3}{4}\right)^{100}-1\right]}{7}\)
Như vầy đủ gọn chưa bạn?


\(A=\frac{3}{1.4}+\frac{3}{4.7}+...+\frac{3}{97.100}\)
\(\Rightarrow A=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{97}-\frac{1}{100}\)
\(\Rightarrow A=1-\frac{1}{100}=\frac{99}{100}\)
\(A=\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{97.100}\)
\(A=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{97}-\frac{1}{100}\)
\(A=1-\frac{1}{100}\)
\(A=\frac{99}{100}\)
Vậy\(A=\frac{99}{100}\)

1/4 + 1/3 : (2x - 1) = -5
=> 1/3 : (2x - 1) = -21/4
=> 2x - 1 = -63/4
=> 2x = -59/4
=> x = -59/8
\(\frac{1}{4}+\frac{1}{3}:\left(2x-1\right)=-5\)
\(\frac{1}{3}:\left(2x-1\right)=\left(-5\right)-\frac{1}{4}\)
\(\frac{1}{3}:\left(2x-1\right)=\frac{-21}{4}\)
\(2x-1=\frac{1}{3}:\frac{-21}{4}\)
\(2x-1=\frac{-4}{63}\)
\(2x=\frac{-4}{63}+1\)
\(2x=\frac{59}{63}\)
\(x=\frac{59}{63}:2\)
\(x=\frac{59}{126}\)
1-2x7+3+3+3
= 1-14+3+3+3
= -13+3+3+3
=-4
mik vs
=1-14+3X3=-4