![](https://rs.olm.vn/images/avt/0.png?1311)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a, \(\frac{1}{2}-\frac{3}{5}x=4-\frac{1}{3}x\)
<=> \(\frac{1}{2}-\frac{3}{5}x+\frac{1}{3}x=4\)
<=>\(\frac{1}{2}-x.\left(\frac{3}{5}-\frac{1}{3}\right)=4\)
<=>\(\frac{1}{2}-\frac{4}{15}x=4\)
<=>\(\frac{4}{15}x=\frac{1}{2}-4\)
<=>\(\frac{4}{15}x=\frac{-7}{2}\)
<=> x = \(\frac{-7}{2}:\frac{4}{15}\)
<=> x = \(\frac{-7}{2}.\frac{15}{4}\)
<=> x = \(\frac{-105}{8}\)
b,\(\left(x^2-5\right).x^2=0\)
<=> \(x^2-5=0:x^2\)
<=>\(x^2-5=0\)
<=> \(x^2=5\)
<=> x = 5:x
c, 2 . I x - \(\frac{1}{2}\)I = \(\frac{-1}{3}+5\frac{1}{3}\)
<=>2 . I x - \(\frac{1}{2}\)I = \(\frac{-1}{3}+\frac{5}{3}\)
<=>2 . I x - \(\frac{1}{2}\)I = \(\frac{4}{3}\)
<=> I x - \(\frac{1}{2}\)I = \(\frac{4}{3}:2\)
<=> I x - \(\frac{1}{2}\)I = \(\frac{4}{3}.\frac{1}{2}\)
<=> I x - \(\frac{1}{2}\)I = \(\frac{2}{3}\)
=> x - \(\frac{1}{2}\)= \(\frac{2}{3}\)hoặc x - \(\frac{1}{2}\)= \(\frac{-2}{3}\)
TH1: x -\(\frac{1}{2}\) = \(\frac{2}{3}\)
<=> x = \(\frac{2}{3}\)+ \(\frac{1}{2}\)
<=> x = \(\frac{7}{6}\)
TH2: x - \(\frac{1}{2}\)= \(\frac{-2}{3}\)
<=> x = \(\frac{-2}{3}\)+ \(\frac{1}{2}\)
<=> x = \(\frac{-1}{6}\)
d) I 2x - 3 I - x = 6
=> 2x - 3 - x = 6 hoặc 2x - 3 - x = - 6
TH1:2x - 3 - x = 6
<=> x - 3 = 6
<=> x = 6 + 3
<=> x = 9
TH2: 2x - 3 - x = - 6
<=> x - 3 = -6
<=> x = - 6 + 3
<=> x = - 3
+ I 2x - 3 I
![](https://rs.olm.vn/images/avt/0.png?1311)
1/
a. \(x^3-2=25\)
\(x^3=25+2\)
\(x^3=27\)
\(\Rightarrow x=3\)
b.\(\left(x-3\right)^2=25\)
\(\left(x-3\right)^2=5^2\)
\(\Rightarrow x-3=5\)
\(\Rightarrow x=8\)
1,a, x^3-2=25 b, (x-3)^2=25 c, x^3-x^2=55 d,[(8.x-12):4].3^7=3^10
x^3=27 (x-3)^2=5^2 không có giá trị x (8.x-12):4=3^3
x^3=3^3 x-3=5 8.x-12=108
x=3 x=8 8.x=120
x=15
2, a, \(7^6:7^4+3^4.3^2-3^7:3\) b, 1736-(21-16).32+6.7^2 c,56.17+17.44-4^3.5+6.(3^2-2)
=\(7^2+3^6-3^6\) =1736-5.32+6.49 =17.(56+44)-320+42
=\(49\) =1736-160+294 =17.10-278
=1736+134 =170-278
=1870 =-108
d, 3.10^2-[1200-(4^2-2.3)^3]
=300-[1200-(16-6)^3]
=300-(1200-10^3)
=300-(1200-1000)
=300-200
=100
![](https://rs.olm.vn/images/avt/0.png?1311)
1.a. 2S=\(2+2^2+2^3+...+2^{10}\)
2S -S=(\(2+2^2+2^3+...+2^{10}\)) - (1+2+22+...+29)
S= 210 -1
![](https://rs.olm.vn/images/avt/0.png?1311)
B=1+4+4^2+4^3+......+4^100
4B=4+4^2+4^3+4^4+........+4^101
4B - B = 4^101-1
3B=4^101-1
B=(4^101-1):3
![](https://rs.olm.vn/images/avt/0.png?1311)
b) 230 và 320
Ta có :
230 = ( 23 )10 = 810
320 = ( 32 )10 = 910
Vì 8 < 9 Nên 230 < 320
c) 1020 và 9010
Ta có :
1020 = ( 102 )10 = 10010
Vì 10010 > 9010
Nên 1020 > 9010
=131 nhé