Tìm x biết rằng
3x-(2-17)=2
15./x-2/=-2015
ghi rõ =tick
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1) 3x = 45 + 15 = 60
x = 60 : 3 = 20
2) 5x = 50 - 35 = 15
x = 15 : 5 = 3
3) (2x - 5) + 17 = 6
2x - 5 = 6 - 17
2x - 5 = -11
2x = -11 + 5
2x = -6
x = -6 : 2 = -3
4) 10 - 2(4 -3x) = -4
2(4 - 3x) = -4 - 10 = -14
4 - 3x = -14 : 2 = -7
3x = -7 - 4 = -18
x = -18 : 3 = -6
\(\left\{{}\begin{matrix}\left\{{}\begin{matrix}3x-15=45\Leftrightarrow3x=60\Leftrightarrow x=20\\35-5x=50\Leftrightarrow5x=-15\Leftrightarrow x=-3\end{matrix}\right.\\\left\{{}\begin{matrix}\left(2x-5\right)+17=6\Leftrightarrow2x+5=-11\Leftrightarrow2x=-16\Leftrightarrow x=-8\\10-2\left(4-3x\right)=-4\Leftrightarrow8-6x=14\Leftrightarrow6x=-6\Leftrightarrow x=-1\end{matrix}\right.\\\left\{{}\begin{matrix}-12+3\left(-x+7\right)=-18\Leftrightarrow-3x+21=-6\Leftrightarrow-3x=-27\Leftrightarrow x=9\\24:\left(3x-2\right)=-3\Leftrightarrow3x-2=-8\Leftrightarrow3x=-6\Leftrightarrow x=-2\end{matrix}\right.\\-45:5\left(-3-2x\right)=3\Leftrightarrow-15-10x=-15\Leftrightarrow10x=0\Leftrightarrow x=0\end{matrix}\right.\)
\(b,\left(2\chi-7\right)^{4-1}=4^{2\times5}\)\(a,3\times2^{\chi-7}=17\)
a) \(3.2^x-7=17\)
\(3\cdot2^x=24\)
\(2^x=8=2^3\)
=> x = 3
b) \(\left(2x-7\right)^4-1=4^2\cdot5\)
\(\left(2x-7\right)^4-1=80\)
\(\left(2x-7\right)^4=81=\left(\pm3\right)^4\)
+) 2x - 7 = 3
2x = 10
x = 5
+) 2x - 7 = -3
2x = 4
x = 2
Vậy,...........
a) -65 .( 87 - 17 ) -87 .( 17 - 65 )
= ( - 65 ) . 87 + 17 - 87 . 17 + 65
= { ( - 65 ) + 65 } . 87 + 17
= 0 . 87 + 17
= 17
b) -215 . [ 14 + ( -236 ) ] + 215 . ( 14 - 236 )
= -215 . 14 + ( - 236 ) + 215 . 14 - 236
= [ ( - 215 ) + 215 ] . 14 + { ( - 236 - 236 }
= 0 . 14 + 0
= 0
\(a,3x-\left(2-17\right)=2\)
\(\Rightarrow3x-2+17=2\)
\(\Rightarrow3x+15=2\)
\(\Rightarrow3x=-13\Leftrightarrow x=-\frac{13}{3}\)
\(b,|x-2|=2005\)
Vì \(|x-2|\ge0\Rightarrow x\in\varnothing\)
a,\(3x-\left(2-17\right)=2\)
\(3x+15=2\)
\(3x=-15+2\)
\(3x=-13\Rightarrow x=\frac{-13}{3}\)
b,\(15\times|x-2|=-2015\)
\(|x-2|=-2015\div15=\frac{-2015}{15}=\frac{-403}{3}\)
\(\orbr{\begin{cases}x-2=\frac{-403}{3}\\x-2=\frac{403}{3}\end{cases}}\orbr{\begin{cases}x=\frac{-397}{3}\\x=\frac{409}{3}\end{cases}}\)