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Ta có : x1 + x2 + ... + x49 + x50 + x51 = 0
x1 + x2 = x3 + x4 = x5 + x6 = x7 + x8 = ... = x49 + x50 = x50 + x51 = 1
\(\Rightarrow\)x1 + x2 + ... + x49 + 2x50 + x51 = 1 + 1 + ... + 1 + 1 = 26
\(\Rightarrow\)x50 = 26
Từ đó suy ra : x51 = 1 - 26 = -25
a: Ta có: \(142-\left[50-\left(2^3\cdot10-2^3\cdot5\right)\right]\)
\(=142-\left[50-80+40\right]\)
=142-10
=132
a. 142 - [50-(23.10-23.5)]
= 142 - [ 50 - ( 8 . 10 - 8 . 5 )]
= 142 - [ 50 - ( 80 - 40 )]
= 142 - [ 50 - 40 ]
= 142 - 10 = 132
b. 375 : { 32[ 4+(5.32 - 42 )]} - 14
= 375 : { 32[4+(5.9 - 42 )]} - 14
= 375 : { 32[4 + ( 45 - 42 )]} - 14
= 375 : {32[4+3]} - 14
= 375 : 224 - 14
c.{210 : [ 16+3.(6+3.2^2)]} - 3
= {210 : [ 16 + 3.(6+3.4)]} - 3
= { 210 :[16+3.(6+12)]}-3
= {210 : [ 16+3.18)]} - 3
= { 210 : [ 16 + 54]} - 3
= { 210 : 70 } - 3
= 30 - 3 = 27
d.500-{5.[409-(2^3 . 3-21^2)] - 1724}
= 500-{5.[409-(8 . 63 - 21^2] - 1724}
= 500 - { 5.[409- (504 - 441) - 1724}
= 500 -{ 5.[ 409 - 63 ] - 1724}
= 500 - { 5.346 - 1724}
= 500 - { 1720 - 1724 }
= 500 - 6
= 494
3\(x^2\).(5\(x\) + 1) + 6\(x^3\).(5\(x\) + 2) = 9\(x^3\) .(5\(x\) + 3)
15\(x^3\) + 3\(x^2\) + 30\(x^4\) + 12\(x^3\) = 45\(x^4\) + 27\(x^3\)
(15\(x^3\) + 12\(x^3\)) + 3\(x^2\) + 30\(x^4\) - 45\(x^4\) - 27\(x^3\) = 0
27\(x^3\) + 3\(x^2\) - 15\(x^4\) - 27\(x^3\) = 0
3\(x^2\) - 15\(x^4\) = 0
3\(x^2\).(1 - 5\(x^2\)) = 0
\(\left[{}\begin{matrix}x^2=0\\1-5x^2=0\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=0\\5x^2=1\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=0\\x=\mp\dfrac{\sqrt{5}}{5}\end{matrix}\right.\)
a) x = − 38 8 = − 19 4
b) x 2 = 25
x = 5 hoặc x = -5
c) x 2 = 36
x = 6 hoặc x = -6
\(5^{x+1}+5^{x-1}=130\)
\(5^x\cdot5^1+5^x\div5^1=130\)
\(5^x\cdot5^1+5^x\cdot\dfrac{1}{5}=130\)
\(5^x\cdot\left(5+\dfrac{1}{5}\right)=130\)
\(5^x\cdot\dfrac{26}{5}=130\)
\(5^x=130\div\dfrac{26}{5}\)
\(5^x=130\cdot\dfrac{5}{26}\)
\(5^x=25\)
\(\Rightarrow5^x=5^2\)
\(\Rightarrow x=2\)
Mọi người còn câu trả lời nào khác không cứ trả lời đi mik tick cho
\(\left(x+15\right):3=7\)
\(x+15=7.3\)
\(x+15=21\)
\(x=21-15\)
\(x=6\)
----------------------------------
\(4.\left(6-x\right)=280:36\)
\(4.\left(6-x\right)=\dfrac{70}{9}\)
\(6-x=\dfrac{70}{9}:4\)
\(6-x=\dfrac{35}{18}\)
\(x=6-\dfrac{35}{18}\)
\(x=\dfrac{73}{18}\)
----------------------------------
\(5x-3x-12=8\)
\(2x=8+12\)
\(2x=20\)
\(x=\dfrac{20}{2}\)
\(x=10\)
\(\left(x+15\right):3=7\\ \Rightarrow x+15=7.3=21\\ \Rightarrow x=21-15=6\)
\(4\left(6-x\right)=280:36\\ \Rightarrow4\left(6-x\right)=\dfrac{70}{9}\\ \Rightarrow6-x=\dfrac{70}{9}:4\\ \Rightarrow6-x=\dfrac{35}{18}\\ \Rightarrow x=6-\dfrac{35}{18}=\dfrac{73}{18}\)
\(5x-3x-12=8\\ \Rightarrow2x=8+12=20\\ \Rightarrow x=\dfrac{20}{2}=10\)
Bài 3:
a. 5x.5x.5x = 5x3
b.x1.x2......x2006 = x1+2+..+2006
c.x.x4.x7....x100 = x1+4+7+...+100
d.x2.x5.x8....x2003 = x2+5+8+..+2003
Bài 3 :
a) 5x . 5x . 5x = ( 5x )3
b) x1 . x2 . ... . x2006
= x1+2+3+...+2006
= x(2006+1).2006:2
= x2013021
c) x . x4 . x7 . ... . x100
= x1+4+7+...+100
= x(100+1).34:2
= x1717
d) x2 . x5 . x8 . ... . x2003
= x2+5+8+...+2003
= x(2003+2).668:2
= x669670