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a) -152 - (3x + 1) = (-2).(-3)3
-152 - 3x - 1 = (-2).(-27)
-3x - 153 = 54
-3x = 54 + 153
-3x = 207
x = -69
b) x - 43 = (35 - x) - 48
x - 43 = 35 - x - 48
x - 43= -x - 13
x = -x - 13 + 43
x = 30 + x
x + x = 30
2x = 30
x = 15
a,\(\left(x-2\right)^2=\left(x-2\right)^4\)
\(\Rightarrow\left(x-2\right)^2-\left(x-2\right)^4=0\)
\(\Rightarrow\left(x-2\right)^2\left[1-\left(x-2\right)^2\right]=0\)
\(\Rightarrow\orbr{\begin{cases}x-2=0\\\left(x-2\right)^2=1\end{cases}}\)
Vậy x = 2 hoặc x = 3 hoặc x = 1
\(b,\)\(\left(x-1\right)^3=46:8\)
\(\Rightarrow\left(x-1\right)^3=2^3\)
\(\Rightarrow x-1=2\Leftrightarrow x=3\)
\(c,x^{30}=x\)
\(\Rightarrow x^{30}-x=0\)
\(\Rightarrow x\left(x^{29}-1\right)=0\)
\(\Rightarrow x=\orbr{\begin{cases}0\\1\end{cases}}\)
\(d,\left(2x+1\right)^7=9^8:3^2=3^{16}:3^2=3^{14}=9^7\)
\(\Rightarrow2x+1=9\)
\(\Rightarrow x=4\)
a) ( x+1)2 =25
Ta có :
52=25
=> ( x+1)2)=52
=> x+1=5
=> x=4
b) 32x=210
=> 32x=(22.5)
=> 32x=(25)2
=> 32x=322
=> x=2
c) 9x=81
Ta có :
92=81
=> 9x=92
=> x=2
d) 3. (2x +1)2=48
=> (2x +1)2=42:3
=> (2x +1)2=16
Mà :
42=16
=> (2x +1)2=42
=> 2x+1=4
=> 2x=3
=> x=1,5
e) (x-1)4 = (x-1)2
TH1: (x-1)4 = (x-1)2=0
=> x=1
TH2: (x-1)4 = (x-1)2=1
=> x=2
Xong :)
a) \(\left(x+1\right)^2=25\)
\(\left(x+1\right)^2=5^2=\left(-5\right)^2\)
- Nếu \(x+1=5\)
\(\Rightarrow x=5-1=4\)
- Nếu \(x+1=-5\)
\(x=\left(-5\right)-1=-6\)
\(x+1=7^{542}.7^{543}\)
\(x+1=7^{1085}\)
\(x=7^{1085}-1\)
(3x - 48). 6 = 36 + 4 -135
(3x - 48) . 6 = 598
3x - 48 = 598 : 6 = 99,6
3x = 147,6
x = 49,2
(3x-48).6=33.33+22+32-122
(3x-48).6=36+4+9-144
(3x-48).6=729-131
(3x-48).6=598
3x-48=598:6
3x-48=\(\dfrac{299}{3}\)
3x=\(\dfrac{299}{3}\)+48
3x=\(\dfrac{443}{3}\)
\(\Leftrightarrow x=\dfrac{443}{9}\)
\(\left(x-3\right)^2-1=48\\ =>\left(x-3\right)^2=48+1\\ =>\left(x-3\right)^2=49\\ =>\left[{}\begin{matrix}x-3=7\\x-3=-7\end{matrix}\right.=>\left[{}\begin{matrix}x=10\\x=-4\end{matrix}\right.\)
( x - 3 )2 - 1 = 48
(x-3)2 = 48+1
= 49
ta có : 72 = 49
do đó , ( x-3)2 = 72
x-3=7
x=4