Tìm x:
(x+1)3 =125
Tìm x
a) 5.x^3 - 5 = 0
b) ( x+1)^2 = 16
c) ( x+1)^3 = 27
d) ( x-1)^3 = 343
e) (2x - 1^3) = 125
`@` `\text {Ans}`
`\downarrow`
`a)`
\(5\cdot x^3-5=0\)
`=> 5*x^3 = 0+5`
`=> 5*x^3 = 5`
`=> x^3 = 5 \div 5`
`=> x^3 = 1`
`=> x^3 = 1^3`
`=> x=1`
Vậy, `x=1.`
`b)`
\(( x+1)^2 = 16\)
`=> (x+1)^2 = (+-4)^2`
`=>`\(\left[{}\begin{matrix}x+1=4\\x+1=-4\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=4-1\\x=-4-1\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=3\\x=-5\end{matrix}\right.\)
Vậy, `x \in {3; -5}`
`c)`
\(( x+1)^3 = 27\)
`=> (x+1)^3 = 3^3`
`=> x+1=3`
`=> x=3-1`
`=> x=2`
Vậy, `x=2.`
`d)`
\(( x-1)^3 = 343\)
`=> (x-1)^3 = 7^3`
`=> x-1=7`
`=> x=7+1`
`=> x=8`
Vậy, `x=8.`
`e)`
\((2x - 1^3) = 125\) hay đề là `(2x-1)^3 = 125` vậy ạ?
Mình làm cả 2 TH nhé!
`(2x-1^3)=125`
`=> 2x-1=125`
`=> 2x=125+1`
`=> 2x=126`
`=> x=126 \div 2`
`=> x=63`
TH2:
`(2x-1)^3 = 125`
`=> (2x-1)^3 = 5^3`
`=> 2x-1=5`
`=> 2x=5+1`
`=> 2x=6`
`=> x=6 \div 2`
`=> x=3`
Vậy, `x=3.`
(a) \(5x^3-5=0\Leftrightarrow5x^3=5\Leftrightarrow x^3=1\Leftrightarrow x=1\)
(b) \(\left(x+1\right)^2=16\Rightarrow\left[{}\begin{matrix}x+1=4\\x+1=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-5\end{matrix}\right.\)
(c) \(\left(x+1\right)^3=27\Leftrightarrow x+1=3\Leftrightarrow x=2\)
(d) \(\left(x-1\right)^3=343\Leftrightarrow x-1=7\Leftrightarrow x=8\)
(e) \(\left(2x-1\right)^3=125\Leftrightarrow2x-1=5\Leftrightarrow2x=6\Leftrightarrow x=3\)
1.Tìm số tự nhiên x, biết a) x^3=7^3 b) x^3=27 c) x^3=125 d) ( x+1)^3=125 e) (x-2)^3=2^3 f) (x-2)^3=8 h) (x+2)^2=64 j) (x-3)^6=64 k) 9x^2=36 l) (x-1)^4=16 Giúp tớ vs
a: x^3=7^3
=>x^3=343
=>\(x=\sqrt[3]{343}=7\)
b: x^3=27
=>x^3=3^3
=>x=3
c: x^3=125
=>x^3=5^3
=>x=5
d: (x+1)^3=125
=>x+1=5
=>x=4
e: (x-2)^3=2^3
=>x-2=2
=>x=4
f: (x-2)^3=8
=>x-2=2
=>x=4
h: (x+2)^2=64
=>x+2=8 hoặc x+2=-8
=>x=6 hoặc x=-10
j: =>x-3=2 hoặc x-3=-2
=>x=1 hoặc x=5
k:
9x^2=36
=>x^2=36/9
=>x^2=4
=>x=2 hoặc x=-2
l:
(x-1)^4=16
=>(x-1)^2=4(nhận) hoặc (x-1)^2=-4(loại)
=>x-1=2 hoặc x-1=-2
=>x=3 hoặc x=-1
tìm x \(\in\)z
(x - 6)2= 9
|x| = 3
|x + 5| = 15
2x - 1= 16
5x+1 =125
a,
\(\left(x-6\right)^2=9\\ \Rightarrow\left[{}\begin{matrix}x-6=-3\\x-6=3\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=3\\x=9\end{matrix}\right.\)
b,
\(\left|x\right|=3\\ \Rightarrow\left[{}\begin{matrix}x=-3\\x=3\end{matrix}\right.\)
c,
\(\left|x+5\right|=15\\ \Rightarrow\left[{}\begin{matrix}x+5=-15\\x+5=15\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=-20\\x=10\end{matrix}\right.\)
d,
\(2^{x-1}=16\\ \Rightarrow2^{x-1}=2^4\\ \Rightarrow x-1=4\\ \Rightarrow x=5\)
e,
\(5^{x+1}=125\\ \Rightarrow5^{x+1}=5^3\\ \Rightarrow x+1=3\\ \Rightarrow x=2\)
a: Ta có: \(\left(x-6\right)^2=9\)
\(\Leftrightarrow\left[{}\begin{matrix}x-6=3\\x-6=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=9\\x=3\end{matrix}\right.\)
b: Ta có: \(\left|x\right|=3\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-3\end{matrix}\right.\)
c: Ta có: \(\left|x+5\right|=15\)
\(\Leftrightarrow\left[{}\begin{matrix}x+5=15\\x+5=-15\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=10\\x=-20\end{matrix}\right.\)
Tìm x: (125 x^2) - ((2x+1)^3) - ((3x-1)^3)=0
tìm x: (x+1)3=-125
\(\left(x+1\right)^3=-125\)
\(\left(x+1\right)^3=-5^3\)
\(\Leftrightarrow x+1=-5\)
\(\Rightarrow x=-6\)
\(\left(x+1\right)^3=-125\)
\(\Leftrightarrow\left(x+1\right)^3=-5^3\)
\(\Leftrightarrow\left(x+1\right)=-5\)
\(\Leftrightarrow x=-6\)
Chúc em học tốt ~~~
(x+1)3=-125
(x+1)3=(-5)3
x+1=-5
x=-5-1
x=-6
Vậy x=-6
tìm x biết (3.x-1)^3=125
Ko viết lại đề
\(\left(3x-1\right)^3=5^3\)
\(\Rightarrow3x-1=5\)
\(3x=6\)
\(x=2\)
\(\left(3.x-1\right)^3=125\)
\(\Rightarrow\left(3.x-1\right)^3=5^3\)
\(\Rightarrow\left(3.x-1\right)=5\)
\(\Rightarrow3.x=5+1\)
\(\Rightarrow3.x=6\)
\(\Rightarrow x=2\)
(3.x-1)^3=125
(3.x-1)^3=5^3
=> 3.x-1=5
3.x =5+1
3.x =6
x =6:2
x =3
Vậy x=3
bạn nhớ k đúng cho mình nhé!
Tìm x
( 2/3 -x )^3 - 1/125 = 0
Tìm số tự nhiên x, biết
a) ( x + 1 ) 2 = 16
b) ( x + 1 ) 3 = 27
c) ( x + 1 ) 3 = 16
d) ( 2 . x - 1 ) 3 = 125 .
tìm x :
(2x +1 ) 3 =125
( 2x + 1 ) 3 = 125
( 2x + 1 ) 3 = 53
2x + 1 = 5
2x = 5 - 1
2x = 4
x = 4 : 2
x = 2
(2x+1)3=125
2x+1=5
2x=5-1
2x=4
x=4:2
x=2