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\(\left[\left(6x-72\right):2-84\right].28=5628\)
\(\Rightarrow\left[\left(6x-72\right):2-84\right]=201\)
\(\Rightarrow\left[\left(6x-72\right):2\right]=285\)
\(\Rightarrow6x-72=570\)
\(\Rightarrow6x=642\)
\(\Rightarrow x=107\)
\(A=2+2^2+2^3+2^4+...+2^{10}\)
\(A=\left(2+2^2\right)\left(2^3+2^4\right)+...+\left(2^9+2^{10}\right)\)
\(A=3.2+3.2^3+3.2^5+...+3.2^9\)
\(A=3\left(2+2^3+2^5+...+2^9\right)⋮3\)
Vậy A chia hết cho 3
\(\left(12x-4^3\right).8^3=4.8^4\)
\(12x-4^3=4.8^4:8^3\)
\(12x-64=4.8\)
\(12x-64=32\)
\(12x=32+64=96\)
\(x=96:12=8\)
Vậy x=8
\(b.\left(\left(4x+28\right).3+55\right):5=35\)
\(\left(4x+28\right).3+55=35\times5\)
\(\left(4x+28\right).3+55=175\)
\(\left(4x+28\right).3=175-55\)
\(\left(4x+28\right).3=120\)
\(4x+28=120:3=40\)
\(4x=40-28=12\)
\(x=12:4=3\)
Vậy x=3
\(c.720:\left(41-\left(2x-5\right)\right)=2^3.5\)
\(720:\left(41-\left(2x-5\right)\right)=40\)
\(41-\left(2x-5\right)=720:40=18\)
\(2x-5=41-18=23\)
\(2x=23+5=28\)
\(x=28:2=14\)
Vậy x=14
\(d.\left(3x-2^4\right).7^3=2.7^4\)
\(\left(3x-16\right).7^3=2.7^4\)
\(3x-16=2.7^4:7^3\)
\(3x-16=2.7=14\)
\(3x=14+16=30\)
\(x=30:3=10\)
Vậy x=10
Nhớ k cho mình nhé! Thank you!!!
\(35-\left[\left(2x-3\right)^2:7\right]=28\)
\(\Rightarrow\left[\left(2x-3\right)^2:7\right]=35-28\)
\(\Rightarrow\left(2x-3\right)^2:7=7\)
\(\Rightarrow\left(2x-3\right)^2=1\)
\(\Rightarrow2x-3=\pm1\)
\(\Rightarrow x=2\) hay \(x=1\)
35 - [(2\(x\) - 3)2:7 ] = 28
(2\(x-3\))2 : 7 = 35 - 28
(2\(x\) - 3)2 : 7 = 7
(2\(x\) - 3)2 = 7 \(\times\) 7
(2\(x-3\))2 = 72
\(\left[{}\begin{matrix}2x-3=-7\\2x-3=7\end{matrix}\right.\)
\(\left[{}\begin{matrix}2x=-7+3\\2x=7+3\end{matrix}\right.\)
\(\left[{}\begin{matrix}2x=-4\\2x=10\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-2\\x=5\end{matrix}\right.\)
Vậy \(x\in\) {-2; 5}