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Ta có (4x-12)(x³+64)=0
Suy ra 4x - 12 = 0 hoặc x³ + 64 = 0
=> 4x = 12 hoặc x³ = - 64
=> x = 3 hoặc x = - 4
Vậy x = 3 hoặc x = - 4
(4x-12)(x³+64)=0
\(\Rightarrow\orbr{\begin{cases}4x-12=0\\x^3+64=0\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}4x=12\\x^3=-64\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=3\\x^3=\left(-4\right)^3\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=3\\x=-4\end{cases}}\)
Vậy \(x\in\left\{3;-4\right\}\)
Hok tốt !
(4x-12)(x3+64)=0
=> [x3+64=0=>x=4x-12=0=>4x=12=>x=3 olm bị lỗi nên em đừng có viết cách ra 1 quãng như kia nhé !
vậy x thuộc {3;4}
(3x-12)(x2-4)=0
=>[x2-4=0=>x2=4=>x=2 hoặc x=-23x-12=0=>3x=12=>x=4
vậy x thuộc {4;2;-2}
(x+3)3:3-1=-10
(x+3)3:3=-9
(x+3)3=-9.3
=>(x+3)3=-27
=>x+3=-3
=>x=-6
(3x-1)3-2=-66
(3x-1)3=-64
(3x-1)3=-43
=>3x-1=-4
=>3x=-3
=>x=-1
\(\left(4x-12\right)\left(x^3+64\right)=0\)
\(\Leftrightarrow4x-12=0\)
\(\Leftrightarrow4x=0+12\)
\(\Leftrightarrow4x=12\)
\(\Leftrightarrow x=12\div4\)
\(\Leftrightarrow x=3\)
\(\Leftrightarrow x^3+64=0\)
\(\Leftrightarrow x^3=0=64\)
\(\Leftrightarrow x^3=\left(-64\right)\)
\(\Leftrightarrow x^3=\left(-4\right)^3\)
\(\Leftrightarrow x=\left(-4\right)\)
\(\Rightarrow x\in\left\{-4;3\right\}\)
\(\Leftrightarrow\left(3x-12\right)\left(x^2-4\right)=0\)
\(\Leftrightarrow3x-12=0\)
\(\Leftrightarrow3x=0+12\)
\(\Leftrightarrow3x=12\)
\(\Leftrightarrow x=12\div3\)
\(x=4\)
\(\Leftrightarrow x^2-4=0\)
\(\Leftrightarrow x^2=0+4\)
\(\Leftrightarrow x^2=4\)
\(\Leftrightarrow x^2=2^2=\left(-2\right)^2\)
\(\Rightarrow x\in\left\{2;-2\right\}\)
\(\Rightarrow x\in\left\{-2;2;4\right\}\)
Các câu khác tương tự nhé !
a) ( 15 x 13 - 21 ) : 2 +108
=(195-21):2+108
=174:2+108
=195
b) (548x13+1096)x43:15:86
=(7124+1096)x43:15:86
=8220x43:15:86
=353460:15:86
=274
a: \(4x^3+12=120\)
=>\(4x^3=108\)
=>\(x^3=27=3^3\)
=>x=3
b: \(\left(x-4\right)^2=64\)
=>\(\left[{}\begin{matrix}x-4=8\\x-4=-8\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=12\\x=-4\end{matrix}\right.\)
c: (x+1)^3-2=5^2
=>\(\left(x+1\right)^3=25+2=27\)
=>x+1=3
=>x=2
d: 136-(x+5)^2=100
=>(x+5)^2=36
=>\(\left[{}\begin{matrix}x+5=6\\x+5=-6\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1\\x=-11\end{matrix}\right.\)
e: \(4^x=16\)
=>\(4^x=4^2\)
=>x=2
f: \(7^x\cdot3-147=0\)
=>\(3\cdot7^x=147\)
=>\(7^x=49\)
=>x=2
g: \(2^{x+3}-15=17\)
=>\(2^{x+3}=32\)
=>x+3=5
=>x=2
h: \(5^{2x-4}\cdot4=10^2\)
=>\(5^{2x-4}=\dfrac{100}{4}=25\)
=>2x-4=2
=>2x=6
=>x=3
i: (32-4x)(7-x)=0
=>(4x-32)(x-7)=0
=>4(x-8)*(x-7)=0
=>(x-8)(x-7)=0
=>\(\left[{}\begin{matrix}x-8=0\\x-7=0\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}x=8\\x=7\end{matrix}\right.\)
k: (8-x)(10-2x)=0
=>(x-8)(x-5)=0
=>\(\left[{}\begin{matrix}x-8=0\\x-5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=8\\x=5\end{matrix}\right.\)
m: \(3^x+3^{x+1}=108\)
=>\(3^x+3^x\cdot3=108\)
=>\(4\cdot3^x=108\)
=>\(3^x=27\)
=>x=3
n: \(5^{x+2}+5^{x+1}=750\)
=>\(5^x\cdot25+5^x\cdot5=750\)
=>\(5^x\cdot30=750\)
=>\(5^x=25\)
=>x=2
a) 45 x 76 + 90 x 12
= 45 x 76 + 45 x 2 x 12
= 45 x 76 + 45 x 24
= 45 x ( 76 + 24 )
= 45 x 100
= 4500
b) 2 x 31 x 12 + 4 x 6 x 69
= 24 x 31 + 24 x 69
= 24 x ( 31 + 69 )
= 24 x 100
= 2400
c) 36 x 28 + 36 x 82 + 64 x 69 + 64 x41
= 36 x ( 28 + 82 ) + 64 x ( 69 + 41 )
= 36 x 110 + 64 x 110
= 110 x ( 36 + 64 )
= 110 x 100
= 11 000
d) 156 ( x + 61) = 82
=> x + 61 = \(\frac{82}{156}\)
=> x + 61 = \(\frac{41}{78}\)
=> x = \(\frac{41}{78}\)- 61
=> x = \(\frac{-4717}{78}\)
45 x 76 + 90 x 12 = 45 x 76 + 45 x 2 x 12
= 45 x 76 + 45 x 24
= 45 x (76 + 24)
= 45 x 100
= 4500
b) 2 x 31 x 12 + 4 x 6 x 69 = 62 x 12 + 2 x 12 x 69
= 62 x 12 + 138 x 12
= (62 + 138) x 12
= 200 x 12 = 2400
a) (4x - 1)2 = 25.9
=> (4x - 1)2 = 52 . 32 = 152
=> 4x - 1 = 15
=> 4x = 16
=> x = 4
b) 2x + 2x+3 = 144
=> 2x + 2x . 23 = 144
=> 2x (1 + 23) = 144
=> 2x . 9 = 144
=> 2x = 16
=> x = 4
c) đề chắc chắn đúng chứ :v
d) (2x + 1)3 - 12 = 15
=> (2x + 1)3 = 27
=> (2x + 1)3 = 33
=> 2x + 1 = 3 => 2x = 2 => x = 1
2. 2x = 16 => 2x = 24 => x = 4
3x = 81 => 3x = 34 => x = 4
x3 = 64 => x3 = 43 => x = 4
x2 =81 => x2 = 92 => x = 9
ko ghi lại đề nha
a ) x - 2 = 12
x = 14
b ) 5x + x = 39-311 : 39
6x = 39 - 32
6x = 39 - 9
6x= 30
x = 5
c ) 3x = 9
x = 2 ( vì 32 = 9 )
d ) 4x = 64
x = 64/4 = 16
e ) 2x = 16
x = 4 ( vì 24 = 16 )
f ) 9x-1 = 9
x - 1 = 1 ( vì 91 = 9 )
x = 2
g ) x4 = 16
x = 2
h ) 2x : 25 = 1
2x-5 = 1
x - 5 = 0 ( vì bất cứ số nào luỹ thừa 0 cũng bằng 1 )
x = 5
56 . Tính nhanh :
a ) 2 x 31 x 12 + 4 x 6 x 42 + 8 x 27 x 3
b ) 36 x 28 + 36 x 82 + 64 x 69 + 64 x 41
a) 2 x 31 x 12 + 4 x 6 x 42 + 8 x 27 x 3
= 24 x 31 + 24 x 42 + 24 x 27
= 21 x ( 31 + 42 + 27)
= 21 x 100
= 2100
b) 36 x 28 + 36 x 82 + 64 x 69 + 64 x 41
= 36 x ( 28 + 82) + 64 x ( 69 + 41)
= 36 x 110 + 64 x 110
= 110 x ( 36 + 64)
= 110 x 100
= 11000