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\(a,\)\(25+3\left(x-8\right)=106.\)
\(\Rightarrow25+3x-24=106\)
\(\Rightarrow3x+1=106\)
\(\Rightarrow3x=105\)\(\Rightarrow x=35\)
\(b,3^2\left(x+4\right)-5^2=5.22\)
\(\Rightarrow9\left(x+4\right)-25=110\)
\(\Rightarrow9x+36-25=110\)
\(\Rightarrow9x+11=110\)
\(\Rightarrow9x=99\Leftrightarrow x=11\)
\(a,25:3\left(x-8\right)=106\)
\(\Rightarrow25+3x-24=106\)
\(\Rightarrow3x+1=106\)
\(\Rightarrow x=35\)
\(b,3^2\left(x+4\right)-5^2=5.22\)
\(\Rightarrow9x+36-25=110\)
=\(9x+11=110\)
\(\Rightarrow9x=99\)
\(\Rightarrow x=11\)
\(2^{2x}+2^{2x+1}=48\)
\(2^{2x}+2^{2x}.2=48\)
\(2^{2x}.\left(1+2\right)=48\)
\(2^{2x}.3=48\)
\(2^{2x}=48:3\)
\(2^{2x}=16\)
\(2^{2x}=2^4\)
\(\Rightarrow2x=4\)
\(x=4:2\)
\(x=2\)
a, => |15-x| = 2+3
=> |15-x| = 5
=> 15-x = -5 hoặc 15-x = 5
=> x = 10 hoặc x = 10
Vậy ......
Tk mk nha
a/|15-x|=|-2|+|-3|
=>|15-x|=2+3=5
=>\(15-x=\hept{\begin{cases}5\\-5\end{cases}}\)
=>\(x=\hept{\begin{cases}10\\15\end{cases}}\)
.........
k nha , thanks
a: =>2x-6-3x+15=12-4x-18
=>-x+9=-4x-6
=>3x=-15
hay x=-5
b: \(\Leftrightarrow6x+33⋮3x+2\)
\(\Leftrightarrow6x+4+29⋮3x+2\)
\(\Leftrightarrow3x+2\in\left\{1;-1;29;-29\right\}\)
hay \(x\in\left\{-\dfrac{1}{3};-1;9;-\dfrac{31}{3}\right\}\)
c: \(\Leftrightarrow56:x^2+112=126\)
\(\Leftrightarrow56:x^2=14\)
\(\Leftrightarrow x^2=4\)
=>x=2 hoặc x=-2
\(\left(5-x\right)^3=-64\)
\(\Leftrightarrow\left(5-x\right)^3=\left(-4\right)^3\)
\(\Leftrightarrow5-x=-4\)
\(\Leftrightarrow x=9\)
1)
( 5 - x )3 = - 64
( 5 - x )3 = ( - 4 )3
\(\Rightarrow\)5 - x = - 4
x = 5 - ( - 4 )
x = 5 + 4
x = 9
2)
A = 4 + 42 +43 + 44 + ........ + 499 + 4100
A = 4(4+1) + 43(4+1) + 45(4+1) + ........... + 499(4+1)
A = 4 . 5 + 43 . 5 + 45 . 5 + ............ + 499 . 5
A = 5(4+43 + 45 + ..........+ 499 )
Mà 5 \(⋮\) 5 \(\Rightarrow\) 5(4+43 + 45 + ........ + 499 ) \(⋮\) 5
Vậy A chia 5 dư 0
\(3^2\cdot\left(x+4\right)-5^2=5\cdot22\)
\(\Rightarrow9\cdot\left(x+4\right)-25=110\)
\(\Rightarrow9\cdot\left(x+4\right)=110+25\)
\(\Rightarrow9\cdot\left(x+4\right)=135\)
\(\Rightarrow x+4=\dfrac{135}{9}\)
\(\Rightarrow x+4=15\)
\(\Rightarrow x=15-4\)
\(\Rightarrow x=11\)
`#3107`
\(3^2\cdot\left(x+4\right)-5^2=5\cdot22\\ \Rightarrow3^2\left(x+4\right)=5\cdot22+5^2\\ \Rightarrow9\left(x+4\right)=110+25\\ \Rightarrow9\left(x+4\right)=135\\ \Rightarrow x+4=135\div9\\ \Rightarrow x+4=15\\ \Rightarrow x=15-4\\ \Rightarrow x=11\)
Vậy, `x = 11.`