Tìm x: |x|=\(^{\dfrac{3}{8}}\).
chi tiết nha mn. tks!!
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a, \(2x-x^2=x\left(2-x\right)\)
\(MC=x\left(2-x\right)\left(x+2\right)\)
\(\dfrac{1}{x+2}=\dfrac{x\left(2-x\right)}{x\left(2-x\right)\left(x+2\right)}\);\(\dfrac{8}{2x-x^2}=\dfrac{8\left(x+2\right)}{x\left(2-x\right)\left(x+2\right)}\)
b,
MC : \(x^2-1\)
\(x^2+1=\dfrac{\left(x^2+1\right)\left(x^2-1\right)}{x^2-1}=\dfrac{x^4-1}{x^2-1}\) ; \(\dfrac{x^4}{x^2-1}\)
\(\dfrac{9}{17}\times\dfrac{21}{13}+\dfrac{9}{17}\times\dfrac{5}{13}-\dfrac{9}{17}\times2\)
\(=\dfrac{9}{17}\times\left(\dfrac{21}{13}+\dfrac{5}{13}-2\right)\)
\(=\dfrac{9}{17}\times\left(\dfrac{26}{13}-2\right)=\dfrac{9}{17}\times\left(2-2\right)\)
\(=\dfrac{9}{17}\times0=0\)
Áp dụng t/c dtsbn:
\(\dfrac{x-1}{8}=\dfrac{x+1}{12}=\dfrac{x+1-x+1}{12-8}=\dfrac{2}{4}=\dfrac{1}{2}\)
\(\Rightarrow x-1=\dfrac{1}{2}.8=4\Rightarrow x=4+1=5\)
12(x-1)=8(x+1)
12x - 12 =8x + 8
12x - 8x = 8 +12
4x. = 20
x. = 20 :4
x. = 5
a) \(3+\dfrac{5}{2}=\dfrac{6}{2}+\dfrac{5}{2}=\dfrac{11}{2}\)
b) \(\dfrac{2}{8}:\dfrac{4}{8}=\dfrac{2}{8}.\dfrac{8}{4}=\dfrac{2}{4}=\dfrac{1}{2}\)
c) \(\dfrac{13}{5}-2=\dfrac{26}{10}-\dfrac{20}{10}=\dfrac{6}{10}=\dfrac{3}{5}\)
` @Answer`
Để \(B=\dfrac{5}{n-3}\in Z\)
\(\Rightarrow n-3\inƯC\left(5\right)\)
Mà \(ƯC\left(5\right)=\left\{\pm1;\pm5\right\}\)
Ta có :
`n-3=-1=> n=2`
`n-3=1=>n=4`
`n-3=-5=>n=-2`
`n-3=5=>n=8`
\(\rightarrow n\in\left\{2;4;-2;8\right\}\)
B nguyên thì n-3 là ước của 5
hay n - 3 = {5; 1; -1; -5)
n = {8; 4; 2; 2}
\(2^2.\left(x-3\right)=2^6\\ \Rightarrow x-3=16\\ \Rightarrow x=19\)
\(\left|x\right|=\dfrac{3}{8}\\ \Rightarrow\left[{}\begin{matrix}x=-\dfrac{3}{8}\\x=\dfrac{3}{8}\end{matrix}\right.\)
|x|=\(\dfrac{3}{8}\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{8}\\x=\dfrac{-3}{8}\end{matrix}\right.\)
Vậy x∈{\(\dfrac{3}{8}\);\(\dfrac{-3}{8}\)}