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`@` `\text {Ans}`
`\downarrow`
`a)`
\(\left(\dfrac{x}{2}-1\right)^3+2=-\dfrac{11}{8}\) phải k bạn nhỉ? `11/8` k có bậc lũy thừa nào `=5` á.
`=>`\(\left(\dfrac{x}{2}-1\right)^3=-\dfrac{11}{8}-2\)
`=>`\(\left(\dfrac{x}{2}-1\right)^3=-\dfrac{27}{8}\)
`=>`\(\left(\dfrac{x}{2}-1\right)^3=\left(-\dfrac{3}{2}\right)^3\)
`=>`\(\dfrac{x}{2}-1=-\dfrac{3}{2}\)
`=>`\(\dfrac{x}{2}=-\dfrac{3}{2}+1\)
`=>`\(\dfrac{x}{2}=-\dfrac{1}{2}\)
`=> x=1`
Vậy, `x=1`
`b)`
\(\left(\dfrac{x}{3}+\dfrac{1}{2}\right)\left(75\%-1\dfrac{1}{2}\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}\dfrac{x}{3}+\dfrac{1}{2}=0\\0,75-1\dfrac{1}{2}x=0\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}\dfrac{x}{3}=-\dfrac{1}{2}\\-\dfrac{3}{2}x=\dfrac{75}{100}\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}2x=-3\\-3x\cdot100=2\cdot75\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=-\dfrac{3}{2}\\-3x\cdot100=150\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=-\dfrac{3}{2}\\-3x=1,5\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=-\dfrac{3}{2}\\x=-\dfrac{1}{2}\end{matrix}\right.\)
Vậy, `x={-3/2; -1/2}.`
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\left(9^4.8+9^4.5\right):\left(9^2.\left(10-1\right)\right)\)
=\(9^4.13:9^3=13.9=117\)
b) 100-(75-25)=100-50=50
![](https://rs.olm.vn/images/avt/0.png?1311)
b2
P=4a^2 + 4a =4(a^2 + a)=4.[a.a + a]=4[a.(a+1)]
Mà a và a+1 là 2 số nguyên liên tiếp nên tích 2 số này chia hết cho 2
Đặt a(a+1)=2.k ( k thuộc Z)
Suy ra: P=4.2k=8k chia hết cho 8
k ch mình nha
![](https://rs.olm.vn/images/avt/0.png?1311)
B1 : x + (x+1) + (x+2) + ...+ (x+35) = 0
x + x +1 + x+ 2+...+ x +35 = 0
x + x.35 + (1+2+...+35) = 0
x.36 + 630 =0
x.36 = -630
x = -630 : 36
x =- 17.5
![](https://rs.olm.vn/images/avt/0.png?1311)
\(C=\dfrac{1}{2}.\dfrac{2}{3}.\dfrac{3}{4}.....\dfrac{48}{49}.\dfrac{49}{50}=\dfrac{1}{50}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a. \(\frac{4}{x-4}=-\frac{2}{3}\)
\(\Rightarrow\frac{4}{x-4}=\frac{4}{-6}\)
\(\Rightarrow x-4=-6\)
\(\Rightarrow x=-6+4\)
Vậy x = -2.
b. \(\frac{x-3}{-2}=\frac{5-x}{3}\)
\(\Rightarrow3.\left(x-3\right)=-2.\left(5-x\right)\)
\(\Rightarrow3x-9=-10+2x\)
\(\Rightarrow3x-2x=-10+9\)
Vậy x = -1.
c. \(\frac{x-2}{x-4}=\frac{x+3}{x+6}\)
\(\Rightarrow\left(x-2\right)\left(x+6\right)=\left(x-4\right)\left(x+3\right)\)
\(\Rightarrow x^2+6x-2x-12=x^2+3x-4x-12\)
\(\Rightarrow x^2-x^2+6x-2x-3x+4x=-12+12\)
\(\Rightarrow5x=0\)
Vậy x = 0.
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left|x-4\right|;\left|3x+2\right|\ge0\)
\(-2< 0\)
Suy ra không tồn tại giá trị của x.
\(x-4+x-1=5\)
\(2x=5+4+1\)
\(x=5\)