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1) \(x.\left(x+7\right)=0\)
\(=>\left[\begin{matrix}x=0\\x+7=0\end{matrix}\right.=>\left[\begin{matrix}x=0\\x=-7\end{matrix}\right.\)
2) \(\left(x+12\right).\left(x-3\right)=0\)
\(=>\left[\begin{matrix}x+12=0\\x-3=0\end{matrix}\right.=>\left[\begin{matrix}x=-12\\x=3\end{matrix}\right.\)
3) \(\left(-x+5\right).\left(3-x\right)=0\)
\(=>\left[\begin{matrix}-x+5=0\\3-x=0\end{matrix}\right.=>\left[\begin{matrix}x=5\\x=3\end{matrix}\right.\)
4) \(x.\left(2+x\right).\left(7-x\right)=0\)
\(=>\left[\begin{matrix}x=0\\2+x=0\\7-x=0\end{matrix}\right.=>\left[\begin{matrix}x=0\\x=-2\\x=7\end{matrix}\right.\)
5) \(\left(x-1\right).\left(x+2\right).\left(-x-3\right)=0\)
\(=>\left[\begin{matrix}x-1=0\\x+2=0\\-x-3=0\end{matrix}\right.=>\left[\begin{matrix}x=1\\x=-2\\x=-3\end{matrix}\right.\)
a.390 - (x - 7) = 169 : 13
390 - (x - 7) = 13
x - 7 = 390 - 13
x = 377 + 7
x = 384
b.(x - 140) : 7 = 33 - 23.3
(x - 140) : 7 = 3
x - 140 = 3 . 7
x = 21 + 140
x = 161
c.x - 6:2 - (48-24):2: 6-3 = 0
x - 3 -2 - 3 = 0
x = 3 + 2 + 3
x = 8
\(a.390-\left(x-7\right)=169:13\)
\(390-\left(x-7\right)=13\)
\(\left(x-7\right)=390-13\)
\(x-7=377\)
\(x=377+7\)
Vậy \(x=384\)
\(b.\left(x-140\right):7=3^3--2^3.3\)
\(\left(x-140\right):7=3^3+2^3.3\)
\(\left(x-140\right):7=27+8.3\)
\(\left(x-140\right):7=27+24\)
\(\left(x-140\right):7=51\)
\(\left(x-140\right)=51.7\)
\(x-140=357\)
\(x=357+140\)
Vậy \(x=497\)
\(c.x-6:2-\left(48-24\right):2:6-3=0\)
\(x-3-24:2:6-3=0\)
\(x-3-12:6-3=0\)
\(x-3-2-3=0\)
\(x-\left(-2\right)=0\)
\(x+2=0\)
\(x=0-2\)
Vậy \(x=-2\)
Chúc bạn học tốt nha!
Cách tui lẹ hơn cách bạn Nguyễn Duy Khánh nè!
Ta có: \(C=\frac{7^{28}+7^{24}+....+7^4+7^0}{\left(7^{30}+7^{26}+...+7^6+7^2\right)+\left(7^{28}+7^{24}+...+7^4+7^0\right)}\)
\(=\frac{7^{28}+7^{24}+...+7^4+7^0}{7^2\left(7^{28}+7^{24}+...+7^4+7^0\right)+\left(7^{28}+7^{24}+...+7^4+7^0\right)}\)
\(=\frac{7^{28}+7^{24}+...+7^4+7^0}{\left(7^{28}+7^{24}+...+7^4+7^0\right)\left(7^2+1\right)}=\frac{1}{7^2+1}=\frac{1}{50}\)
P/s: Easy đúng không?
\(C=\frac{7^{28}+7^{2\text{4}}+...+7^{\text{4}}+7^0}{7^{30}+7^{28}+...+7^2+7^0}\)
Đặt A là tử số ,B là mẫu số.Ta có:
\(7^{\text{4}}A=7^{32}+7^{28}+...+7^8+7^{\text{4}}+7^0\)
\(20\text{4}1A-A=\left(7^{32}+7^{28}+7^{2\text{4}}+...+7^8+7^{\text{4}}\right)-\left(7^{28}+7^{2\text{4}}+...+7^{\text{4}}+7^0\right)\)
\(2\text{4}00A=7^{32}-7^0=7^{32}-1\)
\(\Rightarrow A=\left(7^{32}-1\right):2\text{4}00\)
\(7^2B=\left(7^{32}+7^{30}+7^{28}+...+7^{\text{4}}+7^2\right)\)
49B-B= ....tự..điền......như A nhé.....
48B=732-1 =>B=[7232-1]:48
=>\(C=\frac{A}{B}=\frac{\left(7^{32}-1\right):2\text{4}00}{\left(7^{32}-1\right):\text{4}8}\)
Tui nghĩ vậy đc r á
p/s:ko chắc
.
x(x + 7) = 0
=> x = 0 hoac x + 7 = 0
=> x = 0 hoac x = -7
cac phan sau tt
c) (-x + 5)(3 - x) = 0
=> \(\orbr{\begin{cases}-x+5=0\\3-x=0\end{cases}}\)
=> \(\orbr{\begin{cases}-x=-5\\x=3\end{cases}}\)
=> \(\orbr{\begin{cases}x=5\\x=3\end{cases}}\)
Vậy...
10 + 2 . x = 45 : 4
10 + 2 . x = 256
2 . x = 256 - 10
2 . x = 246
<=> x = 123
10+2x=\(4^5:4\)
10+2x=1024:4
10+2x=256
2x=256-10
2x=246
x=246:2
x=123
[3(x+2):7]*4=120
[3(x+2):7] =120:4
[3(x+2):7] =30
3(x+2):7 =30
3*x+3*2:7 =30
3x+6:7 =30
3x+6 =30*7
3x+6 =210
3x =210-6
3x =204
x =204:3
x = 68
câu 3 mình làm ko kịp xin lỗi
chúc bạn học tốt ~~~
Theo bài ra:
(x-7).(x+3) <0
suy ra x-7;x+3 khác dấu
mà x+3>x-7
suy ra x+3>0
x-7 <0
suy ra x>-3
x<7
suy ra -3<x<7
suy ra x thuộc{-2;-1-0;1;2;3;..;6}
a. x=0
b.x=1,7
c.x=5,3
G.X=7
h.x=6
Mk làm vậy thôi
hok tốt
Professor minhmama
a;\(x\left(x+0\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x+0=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0\\x=0\end{cases}}}\)
\(b,\left(x-1\right)\left(7-x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=0\\7-x=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=1\\x=7\end{cases}}}\)
\(c,\left(-x+5\right)\left(3-x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}-x+5=0\\3-x=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=5\\x=3\end{cases}}}\)
\(d,\left(x+5\right)+\left(x-9\right)=13\)
\(\Rightarrow x+5+x-9=13\)
\(\Rightarrow2x=17\)
\(\Rightarrow x=\frac{17}{2}\)
\(e;\left(4+x\right)+\left(x-7\right)=x+2\)
\(\Rightarrow4+x+x-7=x+2\)
\(\Rightarrow x=5\)
\(f,\left(3x+5\right)-\left(2x-7\right)=4-x\)
\(\Rightarrow3x+5-2x+7=4-x\)
\(\Rightarrow2x=-8\Rightarrow x=-4\)
\(g,\left(x-1\right)^2=36\)
\(\Rightarrow\left(x-1\right)^2=\left(\pm6\right)^2\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=6\\x-1=-6\end{cases}\Leftrightarrow\orbr{\begin{cases}x=7\\x=5\end{cases}}}\)
\(h,\left(3-x\right)^3=-27\)
\(\Rightarrow\left(3-x\right)^3=\left(-3\right)^3\)
\(\Rightarrow3-x=-3\)
\(\Rightarrow x=6\)
20 nha
140 nha bn