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x:2,5=0,003:0,75
=>x:2,5= 0,004
=>x=0,004.2,5
=>x= 0,01
Vậy x=0,01
a)2,5:7,5=x:3/5
0,(3)=x:3/5
\(\Rightarrow\)x= 1/5
b)x:2,5=0,003;0,75
x:2,5=1/250
\(\Rightarrow\)x=1/100
0,01 : 2,5 = (0,75x) : 0,75
⇔ (0,75x).2,5 = 0,01.0,75
⇔ (0,75x) = (0,01.0,75) : 2,5
⇔ 0,75x = 0,003
⇔ x = 0,003 : 0,75 ⇔ x = 0,004
a, \(\left|x\right|+0,75=2\Rightarrow\left|x\right|=1,25\Rightarrow x=\pm1,25\)
b, \(\left|x+\dfrac{1}{3}\right|-4=1\Rightarrow\left|x+\dfrac{1}{3}\right|=5\Rightarrow\left|x\right|=\dfrac{14}{3}\Rightarrow x=\pm\dfrac{14}{3}\)
c,
\(\left|x\right|+2,5=0\Rightarrow\left|x\right|=-0,25\) (vô lí)
Vì \(\left|x\right|\ge0\) => x vô nghiệm
a) \(\left|x\right|+0,75=2\)
\(\Leftrightarrow\left|x\right|=2-0,75=1,25\)
\(\Rightarrow\left[{}\begin{matrix}x=-1,25\\x=1,25\end{matrix}\right.\)
b) \(\left|x+\dfrac{1}{3}\right|-4=1\)
\(\Leftrightarrow\left|x+\dfrac{1}{3}\right|=1+4=5\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{3}=5\\x+\dfrac{1}{3}=-5\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{14}{3}\\x=-\dfrac{16}{3}\end{matrix}\right.\)
c) \(\left|x\right|+2,5=0\)
\(\Leftrightarrow\left|x\right|=0-2,5=-2,5\)
Vì \(\left|x\right|\ge0\) mà \(-2,5< 0\) nên \(x\in\varnothing\)
a) Ta có: \(\dfrac{x}{-15}=\dfrac{-60}{x}\)
\(\Leftrightarrow x^2=\left(-15\right)\cdot\left(-60\right)=900\)
hay \(x\in\left\{30;-30\right\}\)
Vậy: \(x\in\left\{30;-30\right\}\)
b) Ta có: \(\left|x\right|+0.573=2\)
\(\Leftrightarrow\left|x\right|=1.427\)
hay \(x\in\left\{1.427;-1.427\right\}\)
Vậy: \(x\in\left\{1.427;-1.427\right\}\)
c) Ta có: \(\left|x+\dfrac{1}{3}\right|-4=-1\)
\(\Leftrightarrow\left|x+\dfrac{1}{3}\right|=3\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{3}=3\\x+\dfrac{1}{3}=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{8}{3}\\x=-\dfrac{10}{3}\end{matrix}\right.\)
Vậy: \(x\in\left\{\dfrac{8}{3};-\dfrac{10}{3}\right\}\)
d) Ta có: \(0.01:2.5=\left(0.75x\right):0.75\)
\(\Leftrightarrow\dfrac{0.75\cdot x}{0.75}=\dfrac{0.01}{2.5}\)
\(\Leftrightarrow x=\dfrac{1}{250}\)
Vậy: \(x=\dfrac{1}{250}\)
0,025=(0,75x):0,75
0,025.0,75=0,75x
0,01875=0,75x
0,01875:0,75=x
0,025=x
(0,01).2,5=(0,75x):0,75=
(0,75x):0,75=0,025
\(\Leftrightarrow\)0,75x=0,01875
\(\Leftrightarrow\)x=0,025
a)\(\frac{x}{64}=-\frac{16}{x}\Rightarrow x^2=-16\cdot64\)
\(\Rightarrow x^2=-1024\)
Do \(x^2\ge0>-1024=VP\)
=>x vô nghiệm
b)0,01: 2,5= (0,75x) : 0,75
=>0,004=0,75:0,75*x
=>0,004=x
Vậy x=0,004
0,01 : 2,5 = \(\frac{0,75.x}{0,75}\)
\(\frac{1}{250}\)= x
0,01 : 2,5 = ( 0,75 . x ) : ( 0,75)
0,004 = ( 0,75 . x ) : ( 0,75)
( 0,75 . x ) = 0,004 x 0,75
( 0,75 . x ) = 0,003
x = 0,003 : 0,75
x = 0,004