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1) (3x-1)(-1/2x+5)=0
TH1: 3x-1=0
3x = 1
x = 1/3
TH2: -1/2x+5=0
-1/2x =-5
x = 10
2) (3/4-x)^3=-8
(3/4-x)^3=(-2)^3
=> 3/4-x=-2
x=3/4+2
x= 11/4
3) |2x-1|=-4^2
|2x-1|=16
=> 2x-1=-16 hoặc 2x-1=16
TH1: 2x-1=-16
2x =-15
x = -15/2
TH2: 2x-1=16
2x =17
x = 17/2
(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 !
\(4x:17=0\)
\(4x=0:17\)
\(\Rightarrow x=0\)
\(7x-8=713\)
\(7x=705\)
\(\Rightarrow x=100\frac{5}{7}\)
\(8\left(x-3\right)=0\)
\(8.x-8.3=0\)
\(8x=0+8.3\)
\(8x=24\)
\(\Rightarrow x=3\)
\(\left(x+2\right)-2=0\)
\(\Rightarrow x+2-2=0\)
\(\Rightarrow x=0\)
\(\left(x+3\right)+1=7\)
\(\Rightarrow x+3+1=7\)
\(\Rightarrow x+4=7\)
\(\Rightarrow x=3\)
\(\left(3x-4\right)+4=12\)
\(\Rightarrow3x-4+4=12\)
\(\Rightarrow3x=12\)
\(\Rightarrow x=4\)
\(\left(5x+4\right)-1=13\)
\(\Rightarrow5x+4-1=13\)
\(\Rightarrow5x+3=13\)
\(\Rightarrow5x=10\)
\(\Rightarrow x=2\)
\(\left(4x-8\right)-3=5\)
\(\Rightarrow4x-8-3=5\)
\(\Rightarrow4x-11=5\)
\(\Rightarrow4x=16\)
\(\Rightarrow x=4\)
\(8-\left(2x+4\right)=2\)
\(\Rightarrow8-2x-4=2\)
\(\Rightarrow4-2x=2\)
\(\Rightarrow2x=2\)
\(\Rightarrow x=1\)
\(7+\left(5x+2\right)=14\)
\(\Rightarrow7+5x+2=14\)
\(\Rightarrow9+5x=14\)
\(\Rightarrow5x=5\)
\(\Rightarrow x=1\)
\(5-\left(3x-11\right)=1\)
\(\Rightarrow5-3x+11=1\)
\(\Rightarrow16-3x=1\)
\(\Rightarrow3x=15\)
\(\Rightarrow x=5\)
a,(x+5)(x-4)=0
=>x+5=0 hoặc x-4=0
=> x=-5 hoặc x=4
b, (x-1)(x-3)=0
=> x-1=0 hoặc x-3=0
=> x=1 hoặc x=3
c,x(x+1)=0
=> x=0 hoặc x+1=0
=> x=0 hoặc x=-1
d, x2-5x= 0<=>x(x-5)=0
=> x=0 hoặc x-5=0
=> x=0 hoặc x=5
x ( x + 1 ) = 0
=> \(\orbr{\begin{cases}x=0\\x+1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x=0-1=-1\end{cases}}}\)
Vậy x = 0 hoặc - 1
1.
a) \(2^x=128\)
\(2^x=2^7\)
\(=>x=7\)
b) \(8^{x-1}=64\)
\(8^{x-1}=8^2\)
\(=>x-1=2\)
\(x=2+1\)
\(=>x=3\)
c) \(3+3^x=30\)
\(3^x=30-3\)
\(3^x=27=3^3\)
\(=>x=3\)
d) \(\left(x+2\right)=64\) -> đề có thiếu không vậy?
e) \(3^2.x=3^5\)
\(x=3^5:3^2\)
\(=>x=3^3=27\)
f) \(\left(2x-1\right)^3=343\)
\(\left(2x-1\right)^3=7^3\)
\(=>2x-1=7\)
\(2x=7+1\)
\(2x=8\)
\(x=8:2\)
\(=>x=4\)
\(#Wendy.Dang\)
a,\(2^x\)=128 b,\(8^{x-1}\)=64 c,3+\(3^x\)=30 d,x+2=64
\(2^7\)=128 \(8^{x-1}\)=\(8^2\) \(3^x\)=30-3 x=64-2
=>x=7 =>x-1=2 \(3^x\)=27 x=62
x=2+1=3 \(3^x\)=\(3^3\)
=>x=3
e,\(3^2\).x=\(3^5\) f,(2x-\(1^3\))=343
x=\(3^5\):\(3^2\) 2x=1+343
x=27 2x=344
x=344:2
x=172
a) \(\left(2x-1\right)^2-25=0\)
\(\left(2x-1\right)^2=0+25=25\)
\(\left(2x-1\right)^2=5^2=\left(-5\right)^2\)
\(\Rightarrow\left[\begin{array}{nghiempt}2x-1=5\\2x-1=-5\end{array}\right.\Rightarrow\left[\begin{array}{nghiempt}2x=6\\2x=-4\end{array}\right.\Rightarrow\left[\begin{array}{nghiempt}x=3\\x=-2\end{array}\right.\)
b) \(8x^3-50x=0\)
\(2x\left(4x^2-25\right)=0\)
\(\Rightarrow\left[\begin{array}{nghiempt}2x=0\\4x^2-25=0\end{array}\right.\Rightarrow\left[\begin{array}{nghiempt}x=0\\4x^2=25\Rightarrow x^2=\frac{25}{4}\Rightarrow\left[\begin{array}{nghiempt}x=\frac{5}{2}\\x=-\frac{5}{2}\end{array}\right.\end{array}\right.\)
a, | x - 3/4 | = 1/2
=>\(\orbr{\begin{cases}x-\frac{3}{4}=\frac{1}{2}\\x-\frac{3}{4}=-\frac{1}{2}\end{cases}}\)
=>\(\orbr{\begin{cases}x=\frac{1}{2}+\frac{3}{4}\\x=-\frac{1}{2}+\frac{3}{4}\end{cases}}\)
=>\(\orbr{\begin{cases}x=\frac{2}{4}+\frac{3}{4}\\x=-\frac{2}{4}+\frac{3}{4}\end{cases}}\)
=>\(\orbr{\begin{cases}x=\frac{5}{4}\\x=\frac{1}{4}\end{cases}}\)
Vậy....
a) \(|x-\frac{3}{4}|=\frac{1}{2}\)
\(< =>\orbr{\begin{cases}x-\frac{3}{4}=\frac{1}{2}\\x-\frac{3}{4}=-\frac{1}{2}\end{cases}}\)
\(< =>\orbr{\begin{cases}x=\frac{1}{2}+\frac{3}{4}\\x=-\frac{1}{2}+\frac{3}{4}\end{cases}}\)
\(< =>\orbr{\begin{cases}x=\frac{5}{4}\\x=\frac{1}{4}\end{cases}}\)
Vay : x = 5/4 hoặc x = 1/4
b)\(saide\)
\(2-(\frac{1}{8}+x):\frac{3}{4}=0\)
\(2-(\frac{1}{8}+x)=0.\frac{3}{4}\)
\(2-(\frac{1}{8}+x)=0\)
\(\frac{1}{8}+x= 2-0\)
\(\frac{1}{8}+x=2\)
\(x =2- \frac{1}{8}\)
\(x=\frac{15}{8}\)
x =15/8
HT~