h) 2.(38.13 - 13.11): 27 - 2021 mũ 0
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b. 1404 : [118 - (4x + 6)] = 27
118 - (4x + 6) = 52
4x + 6 = 66
4x = 60
x = 15
d) \(5x^2-3x=0\)
\(\Leftrightarrow x\left(5x-3\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\5x-3=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=\frac{3}{5}\end{cases}}\)
e) \(3\left(x-1\right)+4\left(x-1\right)^2=0\)
\(\Leftrightarrow\left(x-1\right)\left[3-4.\left(x-1\right)\right]=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=0\\3-4\left(x-1\right)=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=1\\4\left(x-1\right)=3\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=1\\x-1=\frac{3}{4}\Rightarrow x=\frac{7}{4}\end{cases}}\)
f) \(2\left(x-2\right)^2=\left(x-2\right)\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=0\\2\left(x-2\right)-1=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=2\\x-2=\frac{1}{2}\Rightarrow x=\frac{5}{2}\end{cases}}\)
g) \(\left(x-2020\right)^4=\left(x-2020\right)^2\)
\(\Leftrightarrow\orbr{\begin{cases}\left(x-2020\right)^2=0\\\left(x-2020\right)^2-1=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=2020\\x=2019,x=2021\end{cases}}\)
\(4\cdot5^2-3^2\cdot\left(2021^0+3^2\right)\)
\(=4\cdot25-9\cdot\left(1+9\right)\)
\(=100-9\cdot10\)
\(=100-90\)
\(=10\)
4. 52- 32. ( 20210+ 32)
= 4 . 25 - 9 . ( 1 + 9 )
= 100 - 9 . 10
= 100-90
= 10
\(\left(-\dfrac{1}{2}\right)^2:\left(1\dfrac{5}{16}-1,5\right)+2021^0\)
\(=\dfrac{1}{4}:\left(\dfrac{21}{16}-\dfrac{24}{16}\right)+1\)
\(=\dfrac{1}{4}:\left(-\dfrac{3}{16}\right)+1\)
\(=-\dfrac{4}{3}+\dfrac{3}{3}\)
\(=-\dfrac{1}{3}\)
\(=26\left(38-11\right):27-1\)
=26-1
=25