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\(\dfrac{x}{-3}=\dfrac{-75}{x}\)
\(\Rightarrow x^2=\left(-75\right)\cdot\left(-3\right)=225\)
\(\Rightarrow x=\pm\sqrt{225}=\pm15\)
\(\Rightarrow C\)
Tìm tất cả các số x thỏa mãn:
\(\dfrac{x}{-3}=\dfrac{-75}{x}\)
a) x=15
b) x=−15
c) x=15 hoặc x=−15
d) Không có số x nào thỏa mãn
Giải thích:
\(\dfrac{x}{-3}=\dfrac{-75}{x}\\ \Rightarrow x^2=\left(-3\right)\left(-75\right)=225\\ \Rightarrow\left[{}\begin{matrix}x=15\\x=-15\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Câu 30:
\(\dfrac{x+1}{8}=\dfrac{2}{x+1}\)
=>\(\left(x+1\right)^2=2\cdot8=16\)
=>\(\left[{}\begin{matrix}x+1=4\\x+1=-4\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}x=3\\x=-5\end{matrix}\right.\)
=>Chọn D
Câu 31:
\(-\dfrac{7}{15}\cdot\dfrac{5}{8}\cdot\dfrac{15}{-7}\cdot\left(-16\right)\)
\(=\dfrac{5}{8}\cdot\left(-16\right)=-10\)
=>Chọn D
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 3:
a: A=-5-7-8=-20
b: =-3+7+2*(-8)=-16+4=-12
c: =2-3*15-8=-55
Bài 4:
a: x-y+2=-12-25+2=-37+2=-35
b: x+y+z-y-3=x+z-3=-12-15-3=-30
c: =20-12-(25-15)+12=20-10=10
d: =25-(-12+25+15)+3
=25+12-25-15-3
=-3-3=-6
![](https://rs.olm.vn/images/avt/0.png?1311)
a: x+3=-12
=>x=-12-3=-15
b: \(x-15=-51\)
=>\(x=-51+15\)
=>\(x=-36\)
d: \(19-\left(2+x\right)=5\)
=>\(2+x=19-5=14\)
=>\(x=14-2=12\)
e: \(\left(9+x\right)-\left(18-31\right)=-15\)
=>\(x+9-\left(-13\right)=-15\)
=>\(x+9+13=-15\)
=>\(x+22=-15\)
=>\(x=-15-22=-37\)
c: \(43-x=20\)
=>\(x=43-20\)
=>\(x=23\)
f: \(-14-\left(34-x\right)=40\)
=>\(-14-34+x=40\)
=>\(x-48=40\)
=>x=40+48=88
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,\Rightarrow x=\dfrac{-120}{-15}=8\\ b,\Rightarrow x=\dfrac{15}{-5}=-3\\ c,\Rightarrow x=\dfrac{140}{-20}=-7\\ d,\Rightarrow x^2=5^2=\left(-5\right)^2\Rightarrow\left[{}\begin{matrix}x=5\\x=-5\end{matrix}\right.\\ e,\Rightarrow4x=-8\Rightarrow x=-2\\ g,\Rightarrow x^2=\dfrac{-12}{-3}=4\Rightarrow\left[{}\begin{matrix}x=2\\x=-2\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
`a) 3-5+(-x+3)=6`
`=>5+(-x+3)=3-6`
`=>5+(-x+3)=-3`
`=>-x+3=-3-5`
`=>-x+3=-8`
`=>-x=-8-3`
`=>-x=-11`
`=>x=11`
__
`b)(-4-x)+(4-15)=-15`
`=>(-4-x)+-11=-15`
`=>-4-x=-15-(-11)`
`=>-4-x=-15+11`
`=>-4-x=-4`
`=>x=-4-(-4)`
`=>x=-4+4`
`=>x=0`
`c)(11+x)-(-11-9)=32`
`=>(11+x)-(-20)=32`
`=>(11+x)+20=32`
`=>11+x=32-20`
`=>11+x=12`
`=>x=12-11`
`=>x=1`
`a)3-5+(-x+3)=6`
`5+(-x+3)=3-6`
`5+(-x+3)=-3`
`-x+3=-3-5`
`-x+3=-8`
`-x=-8-3`
`-x=-11`
`x=11`
`b,(-4-x)+(4-15)=-15`
`(-4-x)+(-11)=-15`
`-4-x=-15-(-11)`
`-4-x=-15+11`
`-4-x=-4`
`x=-4-(-4)`
`x=-4+4`
`x=0`
`c)(11+x)-(-11-9)=32`
`(11+x)-(-20)=32`
`(11+x)+20=32`
`11+x=32-20`
`11+x=12`
`x=12-11`
`x=1`
C) 15 và -15