a, (7.x-11)\(^3\) =2\(^5\) . 5\(^2\) + 200
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\(a,210-5\left(x-11\right)=200\\ \Rightarrow5\left(x-11\right)=10\\ \Rightarrow x-11=2\\ \Rightarrow x=13.\\ b,\left(2x+1\right):7=2^2+3^2\\ \Rightarrow\left(2x+1\right):7=4+9\\ \Rightarrow\left(2x+1\right):7=13\\ \Rightarrow2x+1=91\\ \Rightarrow2x=90\\ \Rightarrow x=45.\\ c,450:\left[41-\left(2x-5\right)\right]=3^2.5\\ \Rightarrow450:\left[41-\left(2x-5\right)\right]=45\\ \Rightarrow41-\left(2x-5\right)=10\\ \Rightarrow2x-5=31\\ \Rightarrow2x=36\\ \Rightarrow x=18.\\ d,\left(5x-9\right).7+3=80\\ \Rightarrow\left(5x-9\right).7=77\\ \Rightarrow5x-9=11\\ \Rightarrow5x=20\\ \Rightarrow x=4.\)
a) \(210-5\left(x-11\right)=200\)
\(5.\left(x-11\right)=210-200\)
\(5.\left(x-11\right)=10\)
\(x-11=10:5\)
\(x-11=2\)
\(x=2+11\)
\(x=13\)
b) \(\left(2x+1\right):7=2^2+3^2\)
\(\left(2x+1\right):7=13\)
\(2x+1=13.7\)
\(2x=91-1\)
\(2x=90\)
\(x=90:2\)
\(x=45\)
c) \(450:\left[41-\left(2x-5\right)\right]=3^2.5\)
\(450:\left[41-\left(2x-5\right)\right]=45\)
\(\left[41-\left(2x-5\right)\right]=450:45\)
\(\left[41-\left(2x-5\right)\right]=10\)
\(2x-5=41-10\)
\(2x-5=31\)
\(2x=31+5\)
\(2x=36\)
\(x=36:2\)
\(x=18\)
d) \(\left(5x-9\right).7+3=80\)
\(\left(5x-9\right).7=80-3\)
\(5x-9=77:7\)
\(5x-9=11\)
\(5x=11+9\)
\(5x=20\)
\(x=20:5\)
\(x=4\)
a, 2x = 17 + 15
2x = 32
2x = 25
=> x = 5
b, ( 7. x - 11 )3 = 25 . 52 + 200
( 7 . x - 11 )3 = 32 . 25 + 200
( 7 . x - 11 )3 = 800 + 200
( 7 . x - 11 )3 = 1000
( 7 . x - 11 )3 = 103
7 . x - 11 = 10
7 . x = 10 + 11
7 . x = 21
x = 21 : 7
x = 3
\(2^x\)-15=17
\(\Rightarrow\)\(2^x\)=17+15
\(\Rightarrow2^x\)=32
Vì \(2^6\)=32
\(\Rightarrow\)x=6
(7.x-11)^3=2^5.5^2+200
(7.x-11)^3=16.25+200
(7.x-11)^3=600
Xong bạn tìm số có có lập phương bằng 600 thế chắc là bạn tính dc rồi nhỉ!!!!!!!
có j kb vs mik ,mik hướng dẫn thêm cho
a) \(\left(7x-11\right)^3=2^5.5^2+200\)
\(\Rightarrow\left(7x-11\right)^3=32.25+200\)
\(\Rightarrow\left(7x-11\right)^3=800+200\)
\(\Rightarrow\left(7x-11\right)^3=1000\)
\(\Rightarrow\left(7x-11\right)^3=10^3\)
\(\Rightarrow7x-11=10\)
\(\Rightarrow7x=10+11\)
\(\Rightarrow7x=21\)
\(\Rightarrow x=21:7\)
\(\Rightarrow x=3\)
Vậy x = 3
b) \(\left(2x-15\right)^5=\left(2x-15\right)^3\)
\(\Rightarrow\left(2x-15\right)^5-\left(2x-15\right)^3=0\)
\(\Rightarrow\left(2x-15\right)^3\left[\left(2x-15\right)^2-1\right]=0\)
\(\Rightarrow\orbr{\begin{cases}\left(2x-15\right)^3=0\\\left(2x-15\right)^2-1=0\end{cases}}\Rightarrow\orbr{\begin{cases}\left(2x-15\right)^3=0\\\left(2x-15\right)^2=1\end{cases}}\)
TH 1 : \(\left(2x-15\right)^3=0\Rightarrow2x-15=0\Rightarrow2x=15\Rightarrow x=\frac{15}{2}\)
TH 2 : \(\left(2x-15\right)^2=1\Rightarrow\orbr{\begin{cases}2x-15=1\\2x-15=-1\end{cases}}\Rightarrow\orbr{\begin{cases}2x=16\\2x=14\end{cases}}\Rightarrow\orbr{\begin{cases}x=8\\x=7\end{cases}}\)
Vậy \(x\in\left\{\frac{15}{2};8;7\right\}\)
_Chúc bạn học tốt_
a) a^x-15 = 17
a^x=32
a^x=2^5
\(\Rightarrow\)x=5
Vậy x=5
b/ (7.x-11)^3 = 2^5.5^2+200
\(\Leftrightarrow\)(7.x-11)^3=800+200
\(\Leftrightarrow\)(7.x-11)^3= 1000
\(\Leftrightarrow\)(7x-11)^3= 10^3
\(\Leftrightarrow\) 7x-11=10
\(\Leftrightarrow\)7x=21
\(\Leftrightarrow\) x=3
Vậy x=3
a) ax - 15 = 17
ax = 17 + 15
ax = 32
ax = 25
=> x = 5
Vậy x = 5
b) (7 . x - 11)3 = 25 . 52 + 200
(7 . x - 11)3 = 32 . 25 + 200
(7 . x - 11)3 = 1000
(7 . x - 11)3 = 103
=> 7 . x - 11 = 10
7 . x = 10 + 11
7 . x = 21
x = 21 : 7
x = 3
Vậy x = 3
Ủng hộ mk nha !!! *_*
(7x - 11)3 = 25.52+200 = 1000
(7x - 11)3 = 103
=> 7x - 11 = 10
=> 7x = 21
=> x = 3
(7x - 11)3 = 25.52+200
=> (7x - 11)3 = 1000
=>(7x - 11)3 = (-10)3 hoặc (7x - 11)3 = 103
=> 7x - 11 = -10 hoặc 7x - 11 = 10
=> 7x = -1 hoặc 7x = 21
=> x = \(\frac{-1}{7}\)hoặc x=3
Vậy x =\(\frac{-1}{7}\)hoặc x = 3
vì bn chưa cho rõ đề bài nên có 2 đáp số
\(\left(7x-11\right)^3=2^5.5^2+200\)
\(\left(7x-11\right)^3=32.25+200\)
\(\left(7x-11\right)^3=800+200\)
\(\left(7x-11\right)^3=1000\)
\(\left(7x-11\right)=10^3\)
\(\Rightarrow7x-11=10\)
\(7x=10+11\)
\(7x=21\)
\(x=21:3\)
\(x=7\left(TM\right)\)
Vậy \(x=7\) là giá trị cần tìm