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1/vì (1,782x-2-1,78x):1,78x=0
nên 1,78x2-2-1,78x=0
=>1,782x-2=1,78x
=>2x-2=x
2x=x+2
=>x=2
2/vì cơ số bằng nhau nên ta có
x-2=1;-1;0
ta có: x-2=1 => x=3
x-2=-1 => x=1
x-2=0 => x=2
3/ta có
(x+2)3=33 =>x+2=3 =>x=1
mik mệt rồi bạn cứ gải tiếp đi
a) x= 1/8 hoặc -1/8
b) x= 4
c) x= 2
d) Hương ơi Nhi thấy câu này wrong hay sao ấy.
a) \(x-1=27\)
\(\Rightarrow x=27+1\)
\(\Rightarrow x=28\)
Vậy \(x=28.\)
b) \(x^2+x=0\)
\(\Rightarrow x.\left(x+1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x+1=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=0-1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=-1\end{matrix}\right.\)
Vậy \(x\in\left\{0;-1\right\}.\)
c) \(\left(2x+1\right)^2=25\)
\(\Rightarrow\left(2x+1\right)^2=\left(\pm5\right)^2\)
\(\Rightarrow2x+1=\pm5.\)
\(\Rightarrow\left[{}\begin{matrix}2x+1=5\\2x+1=-5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2x=4\\2x=-6\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=4:2\\x=\left(-6\right):2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=2\\x=-3\end{matrix}\right.\)
Vậy \(x\in\left\{2;-3\right\}.\)
d) \(\left(2x-3\right)^2=36\)
\(\Rightarrow\left(2x-3\right)^2=\left(\pm6\right)^2\)
\(\Rightarrow2x-3=\pm6.\)
\(\Rightarrow\left[{}\begin{matrix}2x-3=6\\2x-3=-6\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2x=9\\2x=-3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=9:2\\x=\left(-3\right):2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{9}{2}\\x=-\frac{3}{2}\end{matrix}\right.\)
Vậy \(x\in\left\{\frac{9}{2};-\frac{3}{2}\right\}.\)
Chúc bạn học tốt!
a: \(\left(2x+1\right)^2=\left(x-1\right)^2\)
=>2x+1=x-1 hoặc 2x+1=1-x
=>x=-2 hoặc x=0
b: \(\left(x^2-5\right)\left(x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x^2-5=0\\x+3=0\end{matrix}\right.\Leftrightarrow x\in\left\{\sqrt{5};-\sqrt{5};-3\right\}\)
c: \(3\left(x-1\right)\left(2x-1\right)=5\left(x+8\right)\left(x-1\right)\)
\(\Leftrightarrow\left(x-1\right)\left(6x-3-5x-40\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x-43\right)=0\)
hay \(x\in\left\{1;43\right\}\)
d: \(\Leftrightarrow x^2\left(x+1\right)+\left(x+1\right)=0\)
=>x+1=0
hay x=-1
a, (x - 2)2 = 1
(x - 2)2 = -12
=> x - 2 = -1
x = -1 + 2
x = -1
b, (2x - 1)3 = -27
(2x - 1)3 = -33
=> 2x - 1 = -3
2x = -3 + 1
2x = -2
x = -2 : 2
x = -1
a) (x-2)^2 = 1 = 1^2 = (-1)^2
=> x-2 = 1 => x = 3
x - 2 = -1 => x = 1
.KL:..
b) (2x-1)^3 = -27 = (-3)^3
=> 2x-1 = -3 => 2x = -2 => x = -1
c)16/2^n = 1
2^4 : 2^n = 1
24-n = 1 = 20
=> 4-n = 0 => n = 4
c) (x-1/2)^3 = 1/27 = 1/3^3
=>x-1/2 = 1/3
x = 5/6
d) (x+1/2)^2 = 4/25 = (2/5)^2 = (-2/5)^2
...
rùi bn tự lm như phần a nha
e) (x-1)x+2 = (x-1)x+6
=> (x-1)x+2 - (x-1)x+6 = 0
(x-1)x+2.[1-(x-1)4 ] = 0
=> (x-1)x+2 = 0 => x-1 = 0 => x = 1
1-(x-1)4 = 0 => (x-1)^4 = 1 => x -1 = 1 => x = 2
x -1 = -1 => x = 0
KL:...
f) (x-2)2 + (y-3)2 = 0
=> (x-2)^2 = 0 => x - 2=0 => x = 2
(y-3)^2=0 => y-3 = 0 => y =3
g) 5(x-2).(x+3) = 1 = 50
=> (x-2).(x+3) = 0
=> x-2 = 0 => x = 2
x+3 = 0 => x = -3
KL:...
ý (h) sai đầu bài .
k, \(\left(x+1\right)^3+27=0\)
\(\Leftrightarrow\left(x+1\right)^3=-27\)
\(\Leftrightarrow x+1=-3\)
\(\Leftrightarrow x=-4\)
m, \(\left(3x+\frac{1}{2}\right)^3+\frac{1}{27}=0\)
\(\Leftrightarrow\left(3x+\frac{1}{2}\right)^3=-\frac{1}{27}\)
\(\Leftrightarrow3x+\frac{1}{2}=-\frac{1}{3}\)
\(\Leftrightarrow3x=-\frac{5}{6}\)
\(\Leftrightarrow x=-\frac{5}{18}\)
i, \(x^3-x=0\)
\(\Leftrightarrow x.\left(x^2-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x^2-1=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=0\\x^2=1\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=0\\x=\pm1\end{cases}}\)
n, \(x^2+\frac{1}{2}x=0\)
\(\Leftrightarrow x.\left(x+\frac{1}{2}\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x+\frac{1}{2}=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=0\\x=-\frac{1}{2}\end{cases}}\)
\(\left(x-1\right)^3=27\)
\(\Leftrightarrow\left(x-1\right)^3=3^3\)
\(\Leftrightarrow x-1=3\)
\(\Leftrightarrow x=4\)
\(x^2+x=0\)
\(\Leftrightarrow x\left(x+1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=-1\end{cases}}\)
Vậy x = 0 hoặc x = -1
\(\left(2x+1\right)^2=25\)
\(\Leftrightarrow\left(2x+1\right)^2=\left(\pm5\right)^2\)
\(\Leftrightarrow\orbr{\begin{cases}2x+1=5\\2x+1=-5\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-3\end{cases}}\)
Vậy x = 2 hoặc x = -3
\(\left(2x-3\right)^2=36\)
\(\Leftrightarrow\left(2x-3\right)^2=\left(\pm6\right)^2\)
\(\Leftrightarrow\orbr{\begin{cases}2x-3=6\\2x-3=-6\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=4,5\\x=-1,5\end{cases}}\)
Vậy x = 4,5 hoặc x = -1,5