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a) 5.(x-20) = 35
(x-20) = 35:5
x-20 = 7
x = 27
b) (x+125) -301 = 56
x+125 -301 = 56
x - 176 = 56
x = 56 +176
x= 232
c) 215 + (x-21):2 = 235
(x-21):2 = 235 - 215
(x-21):2 = 20
x-21 = 20 .2
x-21 = 40
x = 61
d) (x:23 +45) .67 = 8911
(x:23 +45) = 8911 : 67
x:23+45 = 133
x:23 = 133-45
x:23 = 88
x = 88.23
x = 2024
a) 5.(x - 20) = 35
⇒ x - 20 = 35 : 5
⇒ x - 20 = 7
⇒ x = 7 + 20
⇒ x = 27
b) (x + 125) - 301 = 56
⇒ x + 125 = 56 + 301
⇒ x + 125 = 357
⇒ x = 357 - 125
⇒ x = 232
c) 215 + (x - 21) : 2 = 235
⇒ (x - 21) : 2 = 235 - 215
⇒ (x - 21) : 2 = 20
⇒ x - 21 = 20 x 2
⇒ x - 21 = 40
⇒ x = 21 + 40
⇒ x = 61
d) (x : 23 + 45).67 = 8911
⇒ x : 23 + 45 = 8911 : 67
⇒ x : 23 + 45 = 133
⇒ x : 23 = 133 - 45
⇒ x : 23 = 88
⇒ x = 88 x 23
⇒ x = 2024
7,2 x 2,8 + 7,3 x 7,2 = 7,3 x (2,8 + 7,2)
= 7,3 x 10 = 73
54,57 x 83 - 54,57 x 23 = 54,57 x (83 - 23)
= 54,57 x 60 = 3274,2
1/2 x 45 + 0,5 x 37 + 5/10 x 18
= 0,5 x 45 + 0,5 x 37 + 0,5 x 18
= 0,5 x (45 + 37 + 18 )
= 0,5 x 100 = 50
0,125 x 4 x 784 x 8
= (0,125 x 8) x ( 4 x 784)
= 1 x 3136 = 3136
7,2 x 2,8 + 7,3 x 7,2
=7,2x(2,8+7,3)
=7,2x10,1
=72,72
54,57 x 83 - 54,57 x 23
=54,57 x (83-23)
=54,57 x 60
=3274,2
1/2 x 45 + 0,5 x 37 + 5/10 x 18
=1/2 x 45+1/2 x 37+1/2 x 18
=1/2 x (45+37+18)
=1/2 x 100
=50
0, 125 x 4 x 784 x 8
=(0,125 x 8) x (784 x 4)
=1 x 3136
=3136
456 + (x - 357) = 1362
=> x - 357 = 1362 - 456
=> x - 357 = 906
=> x = 906 + 357
=> x = 1263
c) (x - 2005) . 2006 = 0
=> x - 2005 = 0 : 2006
=> x - 2005 = 0
=> x = 0 + 2005
=> x = 2005
a) 456 + ( x - 357 ) = 1362
=> x - 357 = 906
=> x = 1263
b) ( 2345 - x ) - 183 = 2014
=> 2345 - x = 2197
=> x = 148
c) ( x - 2005 ) . 2006 = 0
=> x - 2005 = 0
=> x = 2005
còn lại làm tương tự
a, 2x3x4x8x25x125= (2x3)x(4x25)x(8x125)= 6x100x1000=600000
b,42/5 +56/9+23/4+3/5+1/3+1/4= (42/5+3/5)+(23/4+1/4)+(56/9+1/3)=9+6+59/9=
\(0=\left(x-5\right)^5-\left(x-5\right)^4\)
\(\left(x-5\right)^4\left(x-5-1\right)=0\)
\(\orbr{\begin{cases}\left(x-5\right)^4=0\\x-6=0\end{cases}}\)
\(\orbr{\begin{cases}x=5\\x=6\end{cases}}\)
a,
\(2^x=32\)
\(2^x=2^5\)
\(\Rightarrow x=5\)
b,
2x = 124
x = 62
c,
\(x^{15}-x=0\)
\(x\left(x^{14}-1\right)=0\)
\(\orbr{\begin{cases}x=0\\x^{14}-1=0\end{cases}}\)
\(\orbr{\begin{cases}x=0\\x=\pm1\end{cases}}\)
a)\(2^x.4=128\Leftrightarrow2^x=32\Leftrightarrow2^x=2^5\Rightarrow x=5\)
b)\(\left(2x+1\right)=125\Leftrightarrow2x=126\Leftrightarrow x=13\)
c)\(x^{15}=x\Leftrightarrow\orbr{\begin{cases}x=\pm1\\x=0\end{cases}}\)
d) \(\left(x-5\right)^4=\left(x-5\right)^5\Leftrightarrow\orbr{\begin{cases}x-5=1\\x-5=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=6\\x=5\end{cases}}\)
a,
\(2^x=32\)
\(2^x=2^5\)
\(\Rightarrow x=5\)
b,
2x = 124
x = 62
c,
\(x^{15}-x=0\)
\(x\left(x^{14}-1\right)=0\)
\(\orbr{\begin{cases}x=0\\x^{14}-1=0\end{cases}}\)
\(\orbr{\begin{cases}x=0\\x^{14}=1\end{cases}}\)
\(\orbr{\begin{cases}x=0\\x=\pm1\end{cases}}\)
d,
\(0=\left(x-5\right)^5-\left(x-5\right)^4\)
\(\left(x-5\right)^4\left(x-5-1\right)=0\)
\(\orbr{\begin{cases}\left(x-5\right)^4=0\\x-6=0\end{cases}}\)
\(\orbr{\begin{cases}x=5\\x=6\end{cases}}\)
4,5 x y - y x 125% + y : 5/7 + 1/4 x y = 17,1
4,5 x y - y x 8 + y .7/5 + 1/4 x y =17,1
y x (4,5-8+7/5+1/4)=17,1
y x (-1,85)=17,1
y=17,1 : (-1,85)
y=.............(tự tính )
\(4,5\times y-y\times125\%+y:\frac{5}{7}+\frac{1}{4}\times y=17,15\)
=> \(4,5\times y-y\times1,25+y\times1,4+0,25\times y=17,15\)
=> \(y\times\left(4,5-1,25+1,4+0,25\right)=17,15\)
=> \(y\times4,9=17,15\)
=> \(y=17,15:4,9\)
=> \(y=3,5\)
Study well ! >_<
(45/5+5/5)×x=125×4
10×x=500
X=500÷10
X=50