I x +1 I =5
I 1/4 -2x I=3/4
a) I x+1I +I x+2I + I x+3 I = 4x
b) I x+1I +I x+2I + I x+3 I + I x+4 I = 5x
c) I x+2I +I x+3/5I + x + 1/2 = 4x
a) |x+1|+|x+2+|x+3|=4x
<=> x+1+x+2+x+3=4x
<=> 3x+6=4x
<=> 6=4x-3x
<=> x=6
b) |x+1|+|x+2|+|x+3|+|x+4|=5x
<=> x+1+x+2+x+3+x+4=5x
<=> 4x+10=5x
<=> 10=5x-4x
<=> x=10
Bài 1. Thực hiện các phép toán sau:
a/ (3+4i)+(-1+5i)
b/ (3-4i)-(1-5i)
c/ (-3+4i)+(1-4i)
d/ (3-5i)-(4+i)
Bài 2. Thực hiện các phép toán sau:
a/ (3+4i)(-1+5i)
b/ (3-5i)-(4+i)
Bài 1.
a) \(\left(3+4i\right)+\left(-1+5i\right)=\left(3-1\right)+\left(4i+5i\right)=2+9i\)
b) \(\left(3-4i\right)-\left(1-5i\right)=\left(3-1\right)-\left(4i-5i\right)=2+i\)
c)\(\left(-3+4i\right)+\left(1-4i\right)=\left(-3+1\right)+\left(4i-4i\right)=-2\)
d) \(\left(3-5i\right)-\left(4+i\right)=\left(3-4\right)-\left(5i+i\right)=-1-6i\)
Bài 2.
a) \(\left(3+4i\right)\left(-1+5i\right)=3.\left(-1\right)+4i.\left(-1\right)+3.5i+4i.5i\)
\(=-3-4i+15i-20=-23+11i\)
b) \(\left(3-5i\right)-\left(4+i\right)=\left(3-4\right)-\left(5i+i\right)=-1-6i\)
Tìm x,y biết
a) 2 I 2x-3 I = \(\frac{1}{2}\)
b) 7,5-3 I5-2xI= -4,5
c) I3x-4I+I3y+5I=0
d) 3,7+I4,3-xI=0
e) 4-I5x-2I=1
2|2x - 3| = 1/2
=> |2x - 3| = 1/4
=> 2x - 3 = 1/4 hoặc 2x - 3 = -1/4
đến đây dễ bn tự tính được
a) 3 . I x - 1 I = 27
b) I-2x + 5I + 8 = 21
Giải hộ ạ ❤️
a) 3 . I x - 1 I = 27
| x-1| = 27:3
|x-1| = 9
TH1: x-1 = -9
x= -9+1
x= -8
TH2: x-1=9
x= 9+1
x= 10
Vậy...
b) I-2x + 5I + 8 = 21
| -2x +5| = 21-8
| -2x + 5| = 13
TH1: -2x+ 5= 13
-2x= 13-5
-2x=8
x= 8:(-2)
x= -4
TH2: -2x+5 = -13
-2x = =-13+5
-2x= -8
x= -8 : (-2)
x= 4
Vậy...
a ) 3 . | x- 1 | =27
<=>|x-1| = 9
<=> \(\orbr{\begin{cases}x-1=9\\x-1=-9\end{cases}\Rightarrow\orbr{\begin{cases}x=10\\x=-8\end{cases}}}\)
Vậy x = 10 hoặc x =-8
Bài 60: Tìm x; biết
a/ I x+1 I + I x + 2 I + ..... + I x + 100 I = 101x
b/ I x+ 1/1.2 I + I x + 1/2.3 I + ..... + I x + 1/99.100 I = 100x
c/I I 2x-1 I-1/2 I = 3/2
d/I I 3/2x - 2 I -5/2 I = 3/4
e/I x2 + 2018 I 2019x -1 I I = x2 + 2018
f/ I (x + 1/2 ) I 2x - 3/4 II = 2x -3/4
I 7+5x I = 1-4x
I 4x^2 - 2x I + 1 = 2x
I x^2 - 5x + 4 I = x+4
I 4 - 3x I = 3x -4
I 1+5x I = 1 + 5x
I x^2 - 3x + 1 I = 2x-3
I x-1 I = x^2 -x
|7 + 5x| = 1 - 4x
=> \(\orbr{\begin{cases}7+5x=1-4x\left(đk:x\le\frac{1}{4}\right)\\7+5x=4x-1\left(đk:x\ge\frac{1}{4}\right)\end{cases}}\)
=> \(\orbr{\begin{cases}7-1=-4x-5x\\7+1=4x-5x\end{cases}}\)
=> \(\orbr{\begin{cases}6=-9x\\8=-x\end{cases}}\)
=> \(\orbr{\begin{cases}x=-\frac{2}{3}\left(tm\right)\\x=-8\left(ktm\right)\end{cases}}\)
|4x2 - 2x| + 1 = 2x
=> |4x2 - 2x| = 2x - 1
=> \(\orbr{\begin{cases}4x^2-2x=2x-1\left(đk:x\ge\frac{1}{2}\right)\\4x^2-2x=1-2x\left(đk:x\le\frac{1}{2}\right)\end{cases}}\)
=> \(\orbr{\begin{cases}4x^2-2x-2x+1=0\\4x^2-2x-1+2x=0\end{cases}}\)
=> \(\orbr{\begin{cases}\left(2x-1\right)^2=0\\4x^2-1=0\end{cases}}\)
=> \(\orbr{\begin{cases}2x-1=0\\x^2=\frac{1}{4}\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{1}{2}\\x=\pm\frac{1}{2}\end{cases}}\)(tm)
Vậy ...