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a) \(\left(x^2-9\right)\cdot\left(4^x-16\right)=0\)
\(\Rightarrow x^2-9=0\)hoặc \(4^x-16=0\)
\(x^2=9\) \(4^x=16\)
\(x^2=\left(\pm3\right)^2\) \(4^x=4^2\)
\(\Rightarrow x=\pm3\)hoặc \(x=2\)
b) \(5^x+5^{x+2}=650\)
\(\Rightarrow5^x+5^x\cdot25=650\)
\(\Rightarrow5^x\cdot\left(1+25\right)=650\)
\(\Rightarrow5^x\cdot26=650\)
\(\Rightarrow5^x=650\div26=25\)
\(\Rightarrow5^x=5^2\)
\(\Rightarrow x=2\)Vậy \(x=2\)
c) \(2^{x+2}-2^x=96\)
\(2^x\cdot4-2^x=96\)
\(2^x\cdot\left(4-1\right)=96\)
\(2^x\cdot3=96\)
\(2^x=96\div3=32\)
\(2^x=2^5\)Vậy \(x=5\)
A) 7/38 x 9/11 +7/38 x 4/11 -7/38 x 2/11
=7/38.(9/11+4/11-2/11)
=7/38
B) 5/31 x 21/25 + 5/31 x -7/10 - 5/31 x 9/20
=5/31.(21/25-7/10-9/20)
=5/31.(-31/100)
=-1/20
\(a,\left(2\times x-40\right):10=-55\)
\(2\times x-40=-55\times10\)
\(2\times x-40=-550\)
\(2\times x=-550+40\)
\(2\times x=-510\)
\(x=-510:2\)
\(\Rightarrow x=-255\)
\(b,\left(2\times x+15\right):5=-40\)
\(2\times x+15=-40\times5\)
\(2\times x+15=-200\)
\(2\times x=-200-15\)
\(2\times x=-215\)
\(x=-215:2\)
\(\Rightarrow x=-\dfrac{215}{2}\)
\(c,\left(2\times x-72\right):8=25\)
\(2\times x-72=25\times8\)
\(2\times x-72=200\)
\(2\times x=200+72\)
\(2\times x=272\)
\(x=272:2\)
\(\Rightarrow x=136\)
a. 2x . 7 = 56
2x = 56 : 7
2x = 8
\(\Rightarrow\)23 = 8
Vậy x = 8
Câu 1:
[(4x+28).3+5.5]:5=35
[(4x+28).3+5.5]=35.5
(4x+28).3+25=175
(4x+28).3=175-25
(4x+28).3=150
4x+28=150:3
4x+28=50
4x=50-28
4x=22
x=22:4
x=5,5
a.\([\)(4x+28).3+5.5\(]\):5=35\(\Leftrightarrow\)4(x+7).3+25=175\(\Leftrightarrow\)4(x+7).3=150\(\Leftrightarrow\)4.(x+7)=50\(\Leftrightarrow\)x+7=\(\frac{25}{2}\)\(\Leftrightarrow\)x=\(\frac{11}{2}\)
b.720:\([\)41-(2x-5)\(]\)=40\(\Leftrightarrow\)41-(2x-5)=18\(\Leftrightarrow\)2x-5=23\(\Leftrightarrow\)x=14
c.3x+8x-30=25\(\Leftrightarrow\)11x=55\(\Leftrightarrow\)x=5
a) \(\left(17x-25\right):8+65=9^2\)
\(\left(17x-25\right).\frac{1}{8}+65=81\)
\(\frac{17}{8}x-\frac{25}{8}=81-65\)
\(\frac{17}{8}x-\frac{25}{8}=16\)
\(\frac{17}{8}x=16+\frac{25}{8}\)
\(\frac{17}{8}x=\frac{128}{8}+\frac{25}{8}\)
\(\frac{17}{8}x=\frac{153}{8}\)
\(x=\frac{153}{8}:\frac{17}{8}\)
\(x=\frac{153}{8}.\frac{8}{17}\)
\(x=\frac{153}{17}\)
\(x=9\)
vay \(x=9\)
b) \(80-\left(4.5^2-3.2^3\right)=2^{10}-\left(x-4\right)\)
\(80-\left(100-24\right)=1024-x+4\)
\(80-76=1028-x\)
\(x=1028-80+76\)
\(x=1024\)
vay \(x=1024\)
Bài giải
a, \(\left(x-5\cdot9\right)\cdot2=0\)
\(x-45=0\)
\(x=45\)
b, \(40\cdot\left(x-2\right)=40\)
\(x-2=1\)
\(x=3\)
c, \(\left(x-4\right)\cdot3+2=101\)
\(\left(x-4\right)\cdot3=99\)
\(x-4=33\)
\(x=37\)
Bài làm :
\(a,\left(x-5.9\right).2=0\)
\(\Rightarrow x-45=0\)
\(\Rightarrow x=0+45\)
\(\Rightarrow x=45\)
\(b,40.\left(x-2\right)=40\)
\(\Rightarrow x-2=40:40\)
\(\Rightarrow x-2=1\)
\(\Rightarrow x=3\)
\(c,\left(x-4\right).3+2=101\)
\(\Rightarrow\left(x-4\right).3=99\)
\(\Rightarrow x-4=99:3\)
\(\Rightarrow x-4=33\)
\(\Rightarrow x=37\)
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