0,01 : 2,5 = (0,75x) : 0,25
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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
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) 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: \(x=\dfrac{1}{250}\)
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
( 0,25x ) : 3 = 5/6 : 0,125
( 1/4x ) : 3 = 5/6 : 1/8
( 1/4x ) : 3 = 5/6 x 8
( 1/4x ) : 3 = 20/3
1/4x = 20/3 x 3
1/4x = 20
x = 20 : 1/4
x = 80
0,01 : 2,5 = ( 0,75x ) : 0,75
1/100 : 25/10 = (3/4x) : 3/4
1/100 x 10/25 = (3/4x) : 3/4
=>(3/4x) : 3/4 = 1/250
3/4x = 1/250 x 3/4
3/4x = 3/1000
x = 3/1000 : 3/4
x = 1/250
a) \(\left(0,25x\right):3=\frac{5}{6}:0,125\)
\(\Leftrightarrow0,25x=\frac{20}{3}.3\)
\(\Leftrightarrow x=80\)
b) \(0,01:2,5=\left(0,75x\right):0,75\)
\(\Leftrightarrow x=\frac{1}{250}\)
\(\Leftrightarrow\dfrac{1}{250}=3x\\ \Leftrightarrow x=\dfrac{1}{750}\)
\(\Leftrightarrow0,75x=\dfrac{0,25\cdot0,01}{2,5}=\dfrac{1}{1000}\\ \Leftrightarrow x=\dfrac{1}{1000}:\dfrac{3}{4}\dfrac{3}{4000}\)