x^20 = 1^x
x^30 = x
( 4x - 20 _^7 = ( 4x - 20 )^8
Bài 1: Tìm x
a. (-20) + x = -30 b. (-10) - x = -20
c. -10 + (-2) = -4 d. x + (-3) = -7
e. x - (-5) = -9 f. x (-11) = 12
h. 2x - 10 = 20 l. 4x - 8 = -8
k. -12 - (-2)x = -8
Bài 2: Tìm x
a. -20 - (10-x) = -3
b. 14 + (14-x) = -2
c. -15 - (x-3) = -7
d. (x+4) + (-20) = -8
e. -2x - 2 = -4
f. -2x + 4 = -4
l. -12 - (-2)x = -2 -4
Thank mn ạaa!!
Bài 1:
a. $(-20)+x=-30$
$x-20=-30$
$x=-30+20=-(30-20)=-10$
b.
$(-10)-x=-20$
$x=(-10)-(-20)=-10+20=20-10=10$
c. Đề sai. Bạn xem lại.
d.
$x+(-3)=-7$
$x=-7-(-3)=-7+3=-(7-3)=-4$
e.
$x-(-5)=-9$
$x=(-9)+(-5)=-14$
f.
$x(-11)=12$
$x=\frac{12}{-11}=\frac{-12}{11}$
h.
$2x-10=20$
$2x=20+10=30$
$x=30:2=15$
l.
$4x-8=-8$
$4x=-8+8=0$
$x=0:4=0$
k.
$-12-(-2)x=-8$
$(-2)x=-12-(-8)=-12+8=-(12-8)=-4$
$x=(-4):(-2)=2$
Bài 2:
a. $-20-(10-x)=-3$
$10-x=-20-(-3)=-20+3=-(20-3)=-17$
$x=10-(-17)=10+17=27$
b.
$14+(14-x)=-2$
$14-x=-2-14=-16$
$x=14-(-16)=14+16=30$
c.
$-15-(x-3)=-7$
$x-3=-15-(-7)=-15+7=-8$
x=-8+3=-5$
d.
$(x+4)+(-20)=-8$
$x+4=-8-(-20)=-8+20=12$
$x=12-4=8$
e.
$-2x-2=-4$
$-2x=-4+2=-2$
$x=(-2):(-2)=1$
f.
$-2x+4=-4$
$-2x=-4-4=-8$
$x=(-8):(-2)=4$
l.
$-12-(-2)x=-2-4=-6$
$(-2)x=-12-(-6)=-12+6=-6$
$x=(-6):(-2)=3$
Bài 1 :
a) Viết 125 sang hệ cơ số 6 .
b) Viết 210134 sang hệ cơ số 8 .
Bài 2 : Tìm x :
a) x20 = 1x
b) x30= x
c) (4x - 20)7 = (4x - 20)8
giúp mình giải bài toán.......
1)3x-6=5x+2
2)15-x=4x-5
3)x-15=6+4x
4)-12+x=5x-20
5)7x-4=20+3x
6)5x-7=-21-2x
7)x+15=20-4x
8)17-x=7-6x
9)-4|x-2|=-8
10)-7|x+4|=2.(-7)
1) 3x - 6= 5x + 2
5x - 3x = -6 - 2
2x = -8
x = -4
2) 15 - x = 4x - 5
4x + x = 15 + 5
5x = 20
x = 4
Tương tự như trên
1) 3x - 6 = 5x + 2
3x - 5x = 2 + 6
-2x = 8
x = 8 : (-2)
x = -4
2) 15 - x = 4x - 5
-x - 4x = -5 - 15
-5x = -20
x = -20 : (-5)
x = 4
Tìm x
1) 5x - 16 = 40 + x
2) 4x - 10 = 15 - x
3) 3x - 6 = 5x + 2
4) 15 - x = 4x - 5
5) x - 15 = 6 + 4x
6) -12 + x = 5x - 20
7) 7x - 4 = 20 + 3x
8) 5x - 7 = -21 - 2x
9) x + 15 = 20 - 4x
10) 17 - x = 7 - 6x
(4x-1)^30=(4x-1)^20 Tìm x
ta có : \(\left(4x-1\right)^{30}=\left(4x-1\right)^{20}\)(=)\(\left(4x-1\right)^{30}-\left(4x-1\right)^{20}=0\)(=)\(\left(4x-1\right)^{20}\left[\left(4x-1\right)^{10}-1\right]=0\)(=)\(\orbr{\begin{cases}\left(4x-1\right)^{20}=0\\\left[\left(4x-1\right)^{10}-1\right]=0\end{cases}}\)(=)\(\orbr{\begin{cases}4x-1=0\\\left(4x-1\right)^{10}=1\end{cases}}\)(=)\(\orbr{\begin{cases}4x=1\\\begin{cases}4x-1=1\\4x-1=-1\end{cases}\end{cases}}\)(=)\(\orbr{\begin{cases}x=\frac{1}{3}\\\begin{cases}4x=2\\4x=0\end{cases}\end{cases}}\)\(\orbr{\begin{cases}x=\frac{1}{4}\\\begin{cases}x=\frac{1}{2}\\x=0\end{cases}\end{cases}}\)
Tìm x
(4x-1)^30=(4x-1)^20
\(\left(4x-1\right)^{30}=\left(4x-1\right)^{20}\)
\(4x^{30}-1^{30}=4x^{20}-1^{20}\)
\(4x^{30}-4x^{20}=-1+1\)
\(4x^{20}\left(x^{10}-1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}4x^{20}=0\\x^{10}-1=0\end{cases}\Rightarrow\orbr{\begin{cases}x^{20}=0\\x^{10}=1\end{cases}\Rightarrow}\orbr{\begin{cases}x=0\\x=\pm1\end{cases}}}\)
hok tốt!!
Ta có \(\left(4x-1\right)^{30}=\left(4x-1\right)^{20}\)
<=> \(\left(4x-1\right)^{30}-\left(4x-1\right)^{20}=0\)
<=> \(\left(4x-1\right)^{20}.\left[\left(4x-1\right)^{10}-1\right]=0\)
<=> \(\orbr{\begin{cases}\left(4x-1\right)^{20}=0\\\left(4x-1\right)^{10}-1=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}4x-1=0\\\left(4x-1\right)^{10}=1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}4x=1\\4x-1=1;4x-1=-1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{4}\\4x=2;4x=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{4}\\x=2;x=0\end{cases}}\)
Vậy \(x\in\left\{0;2;\frac{1}{4}\right\}\)
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Hc tốt
Tìm x biết
(4x-1)^30 = (4x-1)^20
\(\left(4x-1\right)^{30}=\left(4x-1\right)^{20}\)
\(\Leftrightarrow\left(4x-1\right)^{30}-\left(4x-1\right)^{20}=0\)
\(\Leftrightarrow\left(4x-1\right)^{20}\left[\left(4x-1\right)^{10}-1\right]=0\)
\(\Leftrightarrow\orbr{\begin{cases}\left(4x-1\right)^{20}=0\\\left(4x-1\right)^{10}-1=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}4x-1=0\\\left(4x-1\right)^{10}=1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}4x=1\\4x-1=-1;1\end{cases}}\)\(\Leftrightarrow\hept{\begin{cases}x=\frac{1}{4}\\x=0\\x=\frac{1}{2}\end{cases}}\)
Vậy \(x=\frac{1}{4};0;\frac{1}{2}\)
P/s : phần \(\Leftrightarrow\hept{\begin{cases}x=\frac{1}{4}\\x=0\\x=\frac{1}{2}\end{cases}}\) thay dấu \(\hept{\begin{cases}\\\\\end{cases}}\) thành dấu \(\orbr{\begin{cases}\\\end{cases}}\) nhé!
\(\Leftrightarrow\orbr{\begin{cases}4x=1\\4x-1=\pm1\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{4}\\\orbr{\begin{cases}x=0\\x=\frac{1}{2}\end{cases}}\end{cases}}\)
\(\left(4x-1\right)^{30}=\left(4x-1\right)^{20}\)
\(\Leftrightarrow\left(4x-1\right)^{30}-\left(4x-1\right)^{20}=0\)
\(\Leftrightarrow\left(4x-1\right)^{20}.\left[\left(4x-1\right)^{10}-1\right]=0\)
\(\Leftrightarrow\orbr{\begin{cases}\left(4x-1\right)^{20}=0\\\left(4x-1\right)^{10}-1=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}4x-1=0\\\left(4x-1\right)^{10}=1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{4}\\4x-1=\pm1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{2}\\x=0\end{cases}}\)
Vậy x = 1/4 hoặc 1/2 hoặc 0
Tìm x:
(4x-1)^30 =(4x-1)^20
Ta có:
\(\left(4x-1\right)^{30}=\left(4x-1\right)^{20}\)
Xét \(4x-1=0\)
\(\Rightarrow4x=1\Rightarrow x=\frac{1}{4}\), thỏa mãn
Xét \(4x-1\ne0\)
\(\Rightarrow\left(4x-1\right)^{30}:\left(4x-1\right)^{20}=1\)
\(\Rightarrow\left(4x-1\right)^{10}=1\Rightarrow\left[{}\begin{matrix}4x-1=1\Rightarrow x=\frac{1}{2}\\4x-1=-1\Rightarrow x=0\end{matrix}\right.\)
Vậy....