672 -[6x-108]=216
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khoảng cách là 108
số thứ 108 của dãy là :
108 x ( 108 - 1 ) + 108 = 11664
Gọi số thứ 108 là: n
Ta có:
(n-108):108 + 1 = 108
(n-108) : 108 = 108 - 1
(n-108) : 108 = 107
n - 108 = 107 x 108
n - 108 = 11556
n = 11556 + 108
n = 11664
Vậy số đó là: 11664
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1025-x+216:3=108
1025-x+72=108
1025-x=108-72
1025-x=36
x=1025-36
x=989
nho h nhe
1025-x+216/3=108
1025-x+72 =108
x+72 =1025-108=917
x =917-27
x =890
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8922 + 892.216 + 1082
= 8922 + 2.892.108 + 1082
= (892 + 108)2
= 10002
= 1000000
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d) \(\left(7-2x\right)^2=49\)
\(\Rightarrow\left(7-2x\right)^2=\left(\pm7\right)^2\)
\(\Rightarrow\left[{}\begin{matrix}7-2x=7\\7-2x=-7\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x=7-7\\2x=7+7\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x=0\\2x=14\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=7\end{matrix}\right.\)
e) \(\left(9-x\right)^3=216\)
\(\Rightarrow\left(9-x\right)^3=6^3\)
\(\Rightarrow9-x=6\)
\(\Rightarrow x=9-6\)
\(\Rightarrow x=3\)
g) \(6^{x+2}+6^x=1332\)
\(\Rightarrow6^x\cdot\left(6^2+1\right)=1332\)
\(\Rightarrow6^x\cdot37=1332\)
\(\Rightarrow6^x=1332:37\)
\(\Rightarrow6^x=36\)
\(\Rightarrow6^x=6^2\)
\(\Rightarrow x=2\)
\(d,\left(7-2x\right)^2=49\)
\(\Leftrightarrow\left[{}\begin{matrix}7-2x=7\\7-2x=-7\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}2x=0\\2x=14\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=7\end{matrix}\right.\)
\(e,\left(9-x\right)^3=216\)
\(\Leftrightarrow\left(9-x\right)^3=6^3\)
\(\Leftrightarrow9-x=6\)
\(\Leftrightarrow x=3\)
\(f,6^{x+2}+6^x=1332\)
\(\Leftrightarrow6^x\left(6^2+1\right)=1332\)
\(\Leftrightarrow6^x\cdot37=1332\)
\(\Leftrightarrow6^x=36\)
\(\Leftrightarrow6^x=6^2\)
\(\Leftrightarrow x=2\)
#Urushi
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108/216 ta được phân số tối giản là 1/2 nha
Chúc bạn học tốt nhé
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6x ( 3x + 1) - 216 (3x + 1) = 0 (đề vậy đúng không?)
(3x +1) (6x - 216) = 0
(3x + 1) 6(x - 36) = 0
3x +1 = 0 hay x - 36 = 0
x = \(\frac{-1}{3}\) hay x = 36
672-(6x-108)=216
6x-108 = 672-216
6x-108 = 456
6x = 456+108
6x = 564
x = 564:6
x = 94
672 - [6x - 108] = 216
6x - 108 = 672 - 216
6x - 108 =456
6x = 456 + 108
6x =564
x = 94