Tìm x , biết
a, \(3^2\left(x+14\right)-5^2=5.4\)
b, \(720:\left[41-\left(2x-5\right)\right]=2^3.5\)
Ai nhanh minh tick
Tìm x:\(720:\left[41-\left(2x-5\right)\right]=2^3.5\)
\(720:\left[41-\left(2x-5\right)\right]=2^3.5\)
\(720:\left[41-\left(2x-5\right)\right]=8.5\)
\(720:\left[41-\left(2x-5\right)\right]=40\)
\(41-\left(2x-5\right)=720:40\)
\(41- \left(2x-5\right)=18\)
\(2x-5=41-18\)
\(2x-5=23\)
\(2x=23+5\)
\(2x=28\)
\(x=28:2\)
\(\Rightarrow x=14\)
Tìm x biết:
\(25+3\left(x-8\right)=106\)
\(720:\left[41-\left(2x-5\right)\right]=2^3.5\)
Cách làm
Bài 1: 25 + 3(x - 8) = 106
3(x - 8) = 106 - 25
3(x - 8) = 81
(x - 8) = 81 : 3
(x - 8) = 27
x = 27 + 8
x = 25
Bài 2: 720 : [41 - (2x - 5)] = 23 . 5
720 : [41 - (2x - 5)] = 8 . 5
720 : [41 - (2x - 5)] = 40
[41 - (2x - 5)] = 720 : 40
[41 - (2x - 5)] = 18
(2x - 5) = 41 - 18
(2x - 5) = 23
2x = 23 + 5
2x = 28
x = 28 : 2
x = 14
2. tìm x
a) \(\left(x-1\right)^3=8\)
b) \(7^{2x-6}=49\)
c) \(\left(2x-14\right)^7=128\)
d) \(x^4.x^5=5^3.5^6\)
e) \(\left[3.\left(x+2\right):7\right].4=120\)
a) \(\left(x-1\right)^3=8=2^3\)
\(x-1=2\)
\(x=2+1=3\)
b) \(7^{2x-6}=49=7^2\)
\(2x-6=2\)
\(2x=6+2=8\)
\(x=8:2=4\)
c) \(\left(2x-14\right)^7=128=2^7\)
\(2x-14=2\)
\(2x=14+2=16\)
\(x=16:2=8\)
d) \(x^4\cdot x^5=5^3\cdot5^6=5^4\cdot5^5\)
\(x=5\)
e) \(3\cdot\left(x+2\right):7\cdot4=120\)
\(x+2=120:3\cdot7:4\)
\(x+2=70\)
\(x=70-2=68\)
Lời giải:
a. $(x-1)^3=8=2^3$
$\Rightarrow x-1=2$
$\Rightarrow x=3$
b. $7^{2x-6}=49=7^2$
$\Rightarrow 2x-6=2$
$\Rightarrow 2x=8$
$\Rightarrow x=4$
c. $(2x-14)^7=128=2^7$
$\Rightarrow 2x-14=2$
$\Rightarrow 2x=16$
$\Rightarrow x=18$
d.
$x^4.x^5=5^3.5^6$
$x^9=5^9$
$\Rightarrow x=5$
e.
$3(x+2):7=120:4=30$
$3(x+2)=30.7=210$
$x+2=210:3=70$
$x=70-2=68$
\(720:\left[41-\left(2.x-5\right)\right]=2^3.5\)
720:(41-(2x-5)) =2\(^3\)x5
720:(41-(2x-5)) =40
41-(2x-5) =720:40=18
2x-5 =41-18=23
2x =23+5=28
=> x =28:2=14
x=14
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\(720:\left[41-\left(2x-5\right)\right]=^{ }2^3.5\)
720 : [41-(2x-5)] = 2^3 . 5
720 : [41-(2x-5) ] =40
=> 41-(2x-5) =18
=> 2x-5 =23
=> 2x =28
=> x=14
720: ( 41-(2x-5) ) = 23 . 5
<=> 720 : ( 41 - ( 2x-5 ) ) = 8.5
<=> 720 : ( 41 - (2x -5 ) ) = 40
<=> ( 41 - ( 2x - 5) ) = 720 : 40 = 18
<=> 2x - 5 = 41 -18 = 23
<=> 2x = 23+5 =28
=> x = 28 : 2 =14
\(720:\left[41-\left(2x-5\right)\right]=2^3.5\)
\(720:\left[41-2x+5\right]=8.5=40\)
\(720:41-2x+5=40\)
\(41-2x+5=18\)
\(2x+5=23\)
\(2x=18\)
\(x=9\)
\(720\div\left[41-\left(2x-5\right)\right]=2^3.5\)
\(720:\left[41-\left(2x-5\right)\right]=2^3.5\)
\(720:\left[41-\left(2x-5\right)\right]=8.5\)
\(720:\left[41-\left(2x-5\right)\right]=40\)
\(\left[41-\left(2x-5\right)\right]=720:40\)
\(\left[41-\left(2x-5\right)\right]=18\)
\(\left(2x-5\right)=41-18\)
\(\left(2x-5\right)=23\)
\(2x=23+5\)
\(2x=28\)
\(x=28:2\)
\(x=14\)
720 : [41 - ( 2x - 5 ) ] = 2^3 . 5
=> 720 : [ 41 - ( 2x -5 ) ] = 8 . 5
=> 720 : [ 41 - ( 2x - 5 ) ] = 40
=> [ 41 - ( 2x - 5 ) ] = 720 : 40
=> [ 41 - ( 2x -5 ) ] = 18
=> ( 2x - 5 ) = 41 - 18
=> ( 2x - 5 ) =23
=> 2x = 23 + 5
=> 2x = 28
=> x = 28 : 2
=> x = 14
Chuc ban hc tot
1,Tính nhanh
a,3x\(\left(\frac{1}{7}+\frac{1}{3}-\frac{3}{14}\right):\frac{11}{14}\)
b,\(\left(\frac{21}{8}+\frac{1}{2}\right):\frac{5}{6}\)
3,Tìm x,biết
a,\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+......+\frac{2}{x\cdot\left(x+1\right)}=\frac{2016}{2018}\)
b,720:\(720:[41-\left(2\cdot x-5\right)]=120\)
Câu b:
\(\frac{21}{8}:\frac{5}{6}+\frac{1}{2}:\frac{5}{6}\)
= \(\frac{63}{20}+\frac{3}{5}\)
= \(\frac{15}{4}\)
\(\left(\frac{21}{8}+\frac{1}{2}\right):\frac{5}{6}\)
\(\frac{25}{8}:\frac{5}{6}\)
\(\frac{25}{8}.\frac{6}{5}\)
\(\frac{30}{8}\)
\((x-1)^3=125\)
\(2^{x+2}-2^x=96\)
\(\left(2x+1\right)^3=343\)
\(720:\left[41-\left(2x-5\right)\right]=2^3.5\)\(16^x< 128^4\)
[X-1]^3=125
[x-1]^3=5^3
x-1=5
x=5+1
x=6
Vậy x=6
a) \(\left(x-1\right)^3=125\)
\(\Rightarrow x-1=5\)
\(\Rightarrow x=6\)
b) \(2^{x+2}-2^x=96\)
\(\Rightarrow2^x.2^2-2^x=96\)
\(\Rightarrow2^x.3=96\)
\(\Rightarrow2^x=32=2^5\)
\(\Rightarrow x=5\)
c) \(\left(2x+1\right)^3=343=7^3\)
\(\Rightarrow2x+1=7\)
\(\Rightarrow x=3\)
\(\left(x-1\right)^3=125\)\(\Rightarrow\left(x-1\right)^3=5^3\Rightarrow x-1=5\)
\(\Rightarrow x=5+1=6\)
\(\left(2x+1\right)^3=343\Rightarrow\left(2x+1\right)^3=7^3\Rightarrow2x+1=7\)
\(2x=7-1=6\Rightarrow x=6:2=3\)
Tìm x,biết
a)\(\left(x-2^2\right)-1=0\)
b)\(4-\left(x-2\right)^2=0\)
c)\(x^2-9-\dfrac{8}{9}x^2=0\)
d)\(\left(3x-2\right)^2-\left(2x+3\right)^2=5\left(x+4\right)\left(x-4\right)\)
a. (x - 22) - 1 = 0
<=> x - 4 - 1 = 0
<=> x = 5
b. 4 - (x - 2)2 = 0
<=> 22 - (x - 2)2 = 0
<=> (2 - x + 2)(2 + x - 2) = 0
<=> x(4 - x) = 0
<=> \(\left[{}\begin{matrix}x=0\\4-x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=4\end{matrix}\right.\)
d. (3x - 2)2 - (2x + 3)2 = 5(x + 4)(x - 4)
<=> (3x - 2 - 2x - 3)(3x - 2 + 2x + 3) = 5(x2 - 16)
<=> (x - 5)(5x + 1) = 5x2 - 80
<=> 5x2 + x - 25x - 5 = 5x2 - 80
<=> 5x2 - 5x2 + x - 25x = -80 + 5
<=> -24x = -75
<=> x = \(\dfrac{25}{8}\)
a)\(\left(x-2^2\right)-1=0\Rightarrow x-4-1=0\Rightarrow x=5\)