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a) \(2,5:0,4x=0,5:0,2\)
\(\Rightarrow\frac{5}{2}:4x=\frac{1}{2}:\frac{1}{5}=\frac{5}{2}\)
\(\Rightarrow4x=\frac{5}{2}:\frac{5}{2}=1\)
\(\Rightarrow x=\frac{1}{4}\)
b) \(\frac{1}{5}x:3=\frac{2}{3}:0,25\)
\(\Rightarrow\frac{1}{5}x:3=\frac{8}{3}\)
\(\Rightarrow\frac{1}{5}x=\frac{8}{3}.3=8\Rightarrow x=40\)
a)2,5:4x=0,5:0,2
2,5:4x=2.5
4x=2,5:2,5
4x=1
x=1:4
x=0,25

Bài 1:a/ 1.6-Ix-0.2I=0
Có 2 trường hợp:
TH1: x-0.2=1.6
=> x=1.6+0.2=1.8
TH2: x-0.2=-1.6
=> x=-1.4
b/ Có 2 trường hợp:
TH1:x-1.5=0=>x=1.5
TH2: 2.5-x=0=> x=2.5
Bài 2: a/ Vì Ix-3.5I\(\ge0\)
=> Amax=0.5-0=0.5 khi x=3.5
b/ Vì -I1.4-xI \(\le0\)
Nên Bmax=0-2=-2 khi x=1.4

a) \(\left|x\right|=9,5\Leftrightarrow\left[{}\begin{matrix}x=9,5\\x=-9,5\end{matrix}\right.\)
b) \(\left|x+2\right|=\left|\dfrac{-3}{20}\right|=\dfrac{3}{20}\Leftrightarrow\left[{}\begin{matrix}x+2=\dfrac{3}{20}\\x+2=-\dfrac{3}{20}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{29}{15}\\x=-\dfrac{31}{15}\end{matrix}\right.\)
c) \(\left|x\right|=-2,4\Rightarrow x\in\varnothing\left(\left|x\right|\ge0\right)\)
d) \(\left|x+2,8\right|=1,5\Leftrightarrow\left[{}\begin{matrix}x+2,8=1,5\\x+2,8=-1,5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-1,3\\x=-4,3\end{matrix}\right.\)

\(\frac{x}{11,9}=\frac{1,5}{3,5}\Rightarrow x=\frac{1,5.11,9}{3,5}\Rightarrow x=5,1\)
\(\frac{x}{0,2}=\frac{80}{x}\Rightarrow x^2=80.0,2\Rightarrow x^2=16\Rightarrow x=4;-4\)
\(\frac{2}{3}x:\frac{1}{5}=\frac{4}{3}:\frac{1}{4}\Rightarrow\frac{2}{3}x:\frac{1}{5}=\frac{16}{3}\Rightarrow\frac{2}{3}x=\frac{16}{15}\Rightarrow x=\frac{8}{5}\)
\(3:\frac{2}{5}x=\frac{1}{0,001}\Rightarrow\frac{2}{5}x=\frac{3}{1000}\Rightarrow x=\frac{3}{400}\)
\(\frac{x}{11,9}=\frac{1,5}{3,5}\Leftrightarrow x=\frac{11,9.1,5}{3,5}=5,1\)
Tương tự

a) Ta có: \(\left|x\right|\ge0\left(\forall x\in Z\right)\)
\(\Rightarrow A=\left|x\right|+\frac{6}{13}\ge\frac{6}{13}\)
Dấu "=" xảy ra "=" |x| = 0 <=> x = 0
Vậy Amin = 6/13 khi và chỉ khi x = 0
b) Ta có: \(\left|x+2,8\right|\ge0\left(\forall x\in Z\right)\)
\(\Rightarrow B=\left|x+2,8\right|-7,9=\left|x+2,8\right|+\left(-7,9\right)\ge-7,9\)
Dấu "=" xảy ra <=> |x+2,8| = 0 <=> x + 2,8 = 0 <=> x = -2,8
Vậy Bmin = -7,9 khi và chỉ khi x = -2,8
c) Ta có: \(\left|x+1,5\right|\ge0\left(\forall x\in Z\right)\)
\(\Rightarrow C=\left|x+1,5\right|-5,7=\left|x+1,5\right|+\left(-5,7\right)\ge-5,7\)
Dấu "=" xảy ra <=> |x+1,5| = 0 <=> x + 1,5 = 0 <=> x = -1,5
Vậy Cmin = -5,7 khi và chỉ khi x = -1,5

a: \(\dfrac{0.4}{x}=\dfrac{x}{0.9}\)
nên \(x^2=\dfrac{9}{25}\)
=>x=3/5 hoặc x=-3/5
b: \(\dfrac{26}{2x-1}=13\dfrac{1}{3}:1\dfrac{1}{3}\)
\(\Leftrightarrow\dfrac{26}{2x-1}=\dfrac{40}{3}:\dfrac{4}{3}=10\)
=>2x-1=13/5
=>2x=18/5
hay x=9/5
c: \(\Leftrightarrow\dfrac{2}{3}:\left(6x+7\right)=\dfrac{1}{5}:\dfrac{6}{5}\)
\(\Leftrightarrow\dfrac{2}{3}:\left(6x+7\right)=\dfrac{1}{6}\)
=>6x+7=4
=>6x=-3
hay x=-1/2
d: \(\dfrac{37-x}{x+13}=37\)
=>37(x+13)=37-x
=>37x+481=37-x
=>38x=-444
hay x=-222/19
a: \(\left(x-1\right):1,5=2,8:0,5\)
=>\(x-1=\frac{2.8}{0.5}\cdot1.5=2.8\cdot3=8,4\)
=>x=8,4+1=9,4
b: \(2\frac23:x=1\frac79:0,2\)
=>\(\frac83:x=\frac{16}{9}:\frac15=\frac{16}{9}\cdot5=\frac{80}{9}\)
=>\(x=\frac83:\frac{80}{9}=\frac83\cdot\frac{9}{80}=\frac{3}{10}\)
c: \(0,6:x=x:2,4\)
=>\(x^2=0,6\cdot2,4=1,44\)
=>\(\left[\begin{array}{l}x=1,2\\ x=-1.2\end{array}\right.\)
bn ơi phần b là gì kia