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75 - 4 . ( x + 1 ) = 71
4x + 4 = 4
4x = 0
=> x = 0
2x . 25 = 64
2x . 25 = 27
=> x + 5 = 7
=> x = 2
9x - 1 = 9
=> 9x - 1 = 91
=> x - 1 = 1 => x = 2
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a) 75 : ( x - 18 ) = 52 = 25
=> x - 18 = 3
=> x = 21
b) 740 : ( x - 10 ) = 102 - 2 x 13
740 : ( x - 10 ) = 100 - 26 = 74
=> x - 10 = 10
=> x = 20
c) ( 2x - 5 )3 = 8 = 23
=> 2x - 5 = 2
=> 2x = 7
=> x= 7/2
d) ( 15 - 6x ) x 35 = 36
=> ( 15 - 6x ) = 36 : 35 = 3
=> 6x = 12
=> x = 2
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\(a,\left(-5\right).\left|x\right|=-75\)
\(\left|x\right|=\frac{-75}{-5}=15\)
\(\Rightarrow\orbr{\begin{cases}x=15\\x=-15\end{cases}}\)
Vậy....
\(b,\left(-6\right)^3.x^2=-1944\)
\(-216.x^2=-1944\)
\(x^2=9\)
\(\Rightarrow x=\pm3\)
Vậy....
\(d,\left|9-x\right|=-7+64\)
\(\left|9-x\right|=57\)
\(\Rightarrow\orbr{\begin{cases}9-x=57\\9-x=-57\end{cases}\Rightarrow\orbr{\begin{cases}x=-48\\x=66\end{cases}}}\)
Vậy...
\(e,\left|x+101\right|-\left(-16\right)=\left(-43\right).\left(-5\right)\)
\(\left|x+101\right|+16=215\)
\(\left|x+101\right|=199\)
\(\Rightarrow\orbr{\begin{cases}x+101=199\\x+101=-199\end{cases}\Rightarrow\orbr{\begin{cases}x=98\\x=-300\end{cases}}}\)
Vậy..
hok tốt!!
a,\(\left(-5\right).\left|x\right|=-75\)
\(=>\left|x\right|=-75:\left(-5\right)=15\)
\(=>\orbr{\begin{cases}x=15\\x=-15\end{cases}}\)
b,\(\left(-6\right)^3.x^2=-1944\)
\(=>\frac{1944}{216}=x^2\)
\(=>x=\sqrt{\frac{1944}{216}}=3\)
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a,5mũ 36=(5mũ3)mũ12=125 mũ12
11^24=(11^2)12=121^12
vì 121<125 nên 5^36>11^24
\(\left(75\%.x+x\right)^2=\dfrac{1}{9}\\ =>\left(\dfrac{3}{4}x+x\right)^2=\dfrac{1}{9}\\ =>\left[{}\begin{matrix}\left(\dfrac{3}{4}x+x\right)=\dfrac{1}{3}\\\left(\dfrac{3}{4}x+x\right)=-\dfrac{1}{3}\end{matrix}\right.\\ =>\left[{}\begin{matrix}\dfrac{7}{4}x=\dfrac{1}{3}\\\dfrac{7}{4}x=-\dfrac{1}{3}\end{matrix}\right.\\ =>\left[{}\begin{matrix}x=\dfrac{4}{21}\\x=-\dfrac{4}{21}\end{matrix}\right.\)
\(\left(75\%.x+x\right)^2=\dfrac{1}{9}\)
\(\Rightarrow\left(\dfrac{3}{4}.x+1.x\right)^2=\left(\dfrac{1}{3}\right)^2\)
\(\Rightarrow\dfrac{3}{4}.x+1.x=\dfrac{1}{3}\)
\(\Rightarrow\left(\dfrac{3}{4}+1\right).x=\dfrac{1}{3}\)
\(\Rightarrow\dfrac{7}{4}.x=\dfrac{1}{3}\)
\(\Rightarrow x=\dfrac{1}{3}:\dfrac{7}{4}\)
\(\Rightarrow x=\dfrac{4}{21}\)