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a: \(x\in\varnothing\)
b: \(\Leftrightarrow\left[{}\begin{matrix}4x-1=15\\4x-1=-15\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=-\dfrac{7}{2}\end{matrix}\right.\)
\(\left(4x-1\right)^2=25.9=225\\ \Leftrightarrow\left(4x-1\right)^2=15^2=\left(-15\right)^2\\ \Leftrightarrow\left[{}\begin{matrix}4x-1=15\\4x-1=-15\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}4x=16\\4x=-14\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{16}{4}=4\\x=-\dfrac{14}{4}=-\dfrac{7}{2}\end{matrix}\right.\)
\(\left(4x-1\right)^2=25\cdot9\)
\(\Rightarrow\left(4x-1\right)^2=5^2\cdot3^2\)
\(\Rightarrow\left(4x-1\right)^2=\left(5\cdot3\right)^2\)
\(\Rightarrow\left(4x-1\right)^2=15^2\)
TH1: \(4x-1=15\)
\(\Rightarrow4x=15+1\)
\(\Rightarrow4x=16\)
\(\Rightarrow x=\dfrac{16}{4}\)
\(\Rightarrow x=4\)
TH2: \(4x-1=-15\)
\(\Rightarrow4x=-15+1\)
\(\Rightarrow4x=-14\)
\(\Rightarrow x=-\dfrac{14}{4}\)
\(\Rightarrow x=-\dfrac{7}{2}\)
(3^2+2^3).x+4^2.2.x=98
(9+8).x+16.2.x=98
17.x+16.2.x=98
17.x+32.x=98
(17+32).x=98
49.x=98
x=98:49
x=2
a: Ta có: \(7x+25=144\)
\(\Leftrightarrow7x=119\)
hay x=17
b: Ta có: \(33-12x=9\)
\(\Leftrightarrow12x=24\)
hay x=2
c: Ta có: \(128-3\left(x+4\right)=23\)
\(\Leftrightarrow3\left(x+4\right)=105\)
\(\Leftrightarrow x+4=35\)
hay x=31
d: Ta có: \(71+\left(726-3x\right)\cdot5=2246\)
\(\Leftrightarrow5\left(726-3x\right)=2175\)
\(\Leftrightarrow726-3x=435\)
\(\Leftrightarrow3x=291\)
hay x=97
e: Ta có: \(720:\left[41-\left(2x+5\right)\right]=40\)
\(\Leftrightarrow41-\left(2x+5\right)=18\)
\(\Leftrightarrow2x+5=23\)
\(\Leftrightarrow2x=18\)
hay x=9
a) 17 + x = -5 + 2x
=> x - 2x = -5 - 17
=> -x = -22
=> x = 22
b) 15 - 3x = -22 - 4x
=> -3x + 4x = -22 - 15
=> x = -37
c) 47 - (4x + 5) = -(3x - 2)
=> 47 - 4x - 5 = -3x + 2
=> -4x + 3x = 2 - 47 + 5
=> -x = -40
=> x = 40
d) -58 + (3 - 7x) = 15 - 8x
=> -58 + 3 - 7x = 15 - 8x
=> -7x + 8x =15 + 58 - 3
=> x = 70
a, b dễ :>>
a) \(2^x=16\)
\(2^x=2^4\)
\(x=4\)
b) \(2^x-15=17\)
\(2^x=17+15\)
\(2^x=32\)
\(2^x=2^5\)
\(x=5\)
Trả lời :
a, 2x = 16
=> 2x = 24
=> x = 4
b, 2x - 15 = 17
=> 2x = 32
=> 2x = 25
=> x = 5
c, (4x - 1)2 = 25 . 9
=> (4x - 1)2 = 225
=> (4x - 1)2 = \(\pm\)152
=> 4x - 1 = \(\pm\)15
\(\Rightarrow\orbr{\begin{cases}4x-1=15\\4x-1=-15\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=4\\x=\frac{-7}{2}\end{cases}}\)
(4x-1)2 = 225
(4x-1)2 = 152 = (-15)2
<=> 4x-1 = 15 hoặc 4x-1 = -15
4x = 16 hoặc 4x = -14
x = 4 hoặc x = - 3,5
a, x - 3 : 2 = 5 14 : 5 12
=> x - 3 : 2 = 5 2
=> x - 3 : 2 = 25
=> x – 3 = 25
=> x = 53
b, 30 : x - 7 = 15 19 : 15 18
=> 30 : x - 7 = 15
=> x – 7 = 2
=> x = 9
c, x 70 = x
=> x 70 - x = 0
=> x ( x 69 - 1 ) = 0
=>
d, 2 x + 1 3 = 9 . 81
=> 2 x + 1 3 = 9 3
=> 2x + 1 = 9
=> x = 4
e, 5 x + 5 x + 2 = 650
=> 5 x 1 + 5 2 = 650
=> 5 x . 26 = 650
=> 5 x = 25
=> x = 2
f, 4 x - 1 2 = 25 . 9
=> 4 x - 1 2 = 5 2 . 3 2
=> 4 x - 1 2 = 15 2
=> 4x – 1 = 15
=> x = 4
846 : [41 - (7x - 5)] = 47
41 - (7x - 5)=846:47=18
7x - 5=41-18=23
7x=23+5=28
x=28:7=4
Thanks bn nhé! 🤗❤️