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a) \(2^{x+2}-2^2=96\)
<=> \(2^x.2^2-2^x=96\)
<=> \(2^x\left(4-1\right)=96\)
<=> \(3.2^x=96\)
<=> \(2^x=32\)
<=> \(2^x=2^5\)
<=> x = 5
b, \(x-\left(\frac{50x}{100}+\frac{25x}{200}\right)=11\frac{1}{4}\)
\(\Rightarrow x-\left(\frac{1x}{2}+\frac{1x}{8}\right)=\frac{45}{4}\)
\(\Rightarrow x-\left(\frac{4x}{8}+\frac{1x}{8}\right)=\frac{45}{4}\)
\(\Rightarrow x-\frac{5x}{8}=\frac{45}{4}\)
\(\Rightarrow\frac{8x}{8}-\frac{5x}{8}=\frac{45}{4}\)
\(\Rightarrow\frac{3x}{8}=\frac{45}{4}\Rightarrow x=\frac{45}{4}\div\frac{3}{8}=30\)
Vậy x = 30
Tìm x thuoc z:
1) \(26-\left|x+9\right|=-13\)
\(\Leftrightarrow\left|x+9\right|=26-\left(-13\right)\)
\(\Leftrightarrow\left|x+9\right|=39\)
\(\Leftrightarrow\left[{}\begin{matrix}x+9=39\\x+9=-39\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=39-9=30\\x=-39-9=-48\end{matrix}\right.\)
Vậy: \(x\in\left\{30;-48\right\}\)
2) \(\left|x+7\right|-13=25\)
\(\Leftrightarrow\left|x+7\right|=25+13=38\)
\(\Leftrightarrow x+7\in\left\{38;-38\right\}\)
\(\Leftrightarrow x\in\left\{31;-45\right\}\)
Vậy:.................
tim x biet
\(1)123-3.\left(x+4\right)=23\)
\(\Leftrightarrow3\left(x+4\right)=123-23\)
\(\Leftrightarrow3\left(x+4\right)=100\)
\(\Leftrightarrow x+4=\frac{100}{3}\)
\(\Leftrightarrow x=\frac{100}{3}-4=\frac{100-12}{3}=\frac{88}{3}\)
Vậy:................
2) Tương tự
=> x = 96 : 3 = 32 tich nhaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa )
a, ( x + 1 ). ( x - 2 ) = 0
\(\Rightarrow\orbr{\begin{cases}x+1=0\\x-2=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0-1\\x=0+2\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=-1\\x=2\end{cases}}}\)
Vậy x = { -1 ; 2 }
b, 10 + 3( x-1 ) = 10 + 6x
=> 10 + 3x - 3 = 10 + 6x
=> 10 - 3 + 3x = 10 + 6x
=> 7 + 3x = 10 + 6x
=> 3x - 6x = 10 - 7
=> -3x = 3
=> x = 1
Vậy x = 1
c, x - 96 = ( 9443 - x ) -15
=> x - 96 = 9443 - x - 15
=> x - 96 = 9443 - 15 - x
=> x - 96 = 9428 - x
=> x + x = 9428 + 96
=> 2x = 9524
=> x = 4762
Vậy x = 4762
x+200:4=720-96
x+200:4x=624
x+50 =624
x =624-50
x =
x + 200 : 4 = 720 - 96
x + 50 = 624
x = 624 - 50
x = 574