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a, 2x - (-9) = x-(-15)
2x + 9 = x+15
2x - x = 15 -9
x = 6
b, 56 + 5x = 2x + 11
5x - 2x = 11 - 56
3x = -45
x = (-45) : 3
x = -15
a) 2x - (-9) = x - (-15)
=> 2x +9 = x + 15
=> 2x - x = 15 - 9
=> x(2-1) = 6
=> x.1 = 6
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Ta có: \(\left(x+5\right)\left(x-4\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x+5=0\\x-4=0\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=-5\\x=4\end{matrix}\right.\)
Vậy \(\left[{}\begin{matrix}x=-5\\x=4\end{matrix}\right.\).
b) \(\left(3-x\right)\left(x-3\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}3-x=0\\x-3=0\end{matrix}\right.\) \(\Rightarrow x=3\)
Vậy \(x=3\).
c) \(5\left(x+1\right)-3^2=3\left(2+x\right)-8\)
\(\Rightarrow5x+5-9=6+3x-8\)
\(\Rightarrow5x-3x=-5+9-8\)
\(\Rightarrow2x=-4\)
\(\Rightarrow x=-2\)
Vậy \(x=-2.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(2.\left(2x-\frac{4}{3}\right)^2+\frac{1}{4}=\frac{1}{2}\)
\(\Rightarrow\left(2x-\frac{4}{3}\right)^2=\frac{1}{2}-\frac{1}{4}\)
\(\Rightarrow\left(2x-\frac{4}{3}\right)^2=\frac{1}{4}\)
\(\Rightarrow\left(2x-\frac{4}{3}\right)=\sqrt{\frac{1}{4}}\)
\(\Rightarrow\left(2x-\frac{4}{3}\right)=\frac{1}{2}\)
\(\Rightarrow2x=\frac{1}{2}+\frac{4}{3}\)
\(\Rightarrow2x=\frac{11}{6}\)
\(\Rightarrow x=\frac{11}{6}\div2\)
\(\Rightarrow x=\frac{11}{6}\times\frac{1}{2}\)
\(\Rightarrow x=\frac{11}{12}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ý Bạn Là = 0 Đúng Ko .
Nếu = 0 => các số hạng phải = 0
ĐỂ x+1 ; x+2 ; ....; x+ 2017 Bằng 0
Thì x Phải Là Số Đối Của 1 ; 2 ;.... ; 2017
Vậy x là số đối của 1 ; 2 ; ... ; 2017
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 2:
a)|x| < 3
x\(\in\){-2;-1;0;1;2}
b)|x - 4 | < 3
x\(\in\){ 6 ; 5 ; 4 ; 3 ; 2 }
c) | x + 10 | < 2
x\(\in\){ -2 ; -10 }
Bài 1:
A = 1 + 2 - 3 + 4 + 5 - 6 +...+98 - 99
A = (1 + 4 + 7 +...+97) + [(2-3)+(5-6)+...+(98-99)]
A = 1617 + [(-1)+(-1)+...+(-1)]
A = 1617 + (-49)
A = +(1617-49) = A = 1568
B = - 2 - 4 + 6 - 8 + 10 + 12 - .... + 60
B =
2)
a) \(x\in\left\{2;1;0;-1;-2\right\}\)
b) \(x\in\left\{6;-6;5;-5;4\right\}\)
c) \(x\in\left\{-9;-11;-10\right\}\)
3)
\(\left(a;b\right)\in\left\{\left(0;1\right);\left(0;-1\right);\left(1;0\right);\left(-1;0\right)\right\}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(3-2\left(x+1\right)=51\)
\(\Rightarrow2\left(x+1\right)=3-51\)
\(\Rightarrow2\left(x+1\right)=-48\)
\(\Rightarrow x+1=-48:2\)
\(\Rightarrow x+1=-24\)
\(\Rightarrow x=-24-1\)
\(\Rightarrow x=-25\)
Vậy \(x=-25.\)
\(3-2.\left(x+1\right)=51\)
\(2.\left(x+1\right)=3-51\)
\(2.\left(x+1\right)=-48\)
\(x+1=-48:2\)
\(x+1=-24\)
\(x=-24+1\)
\(x=-23\)