Tìm x trong mỗi tỉ lệ thức sau:
\(0,15:3\sqrt{x}=0,3:\frac{2}{3}\)
Tìm số x trong các tỉ lệ thức sau:
\(\begin{array}{l}a)\frac{x}{{ - 3}} = \frac{7}{{0,75}};\\b) - 0,52:x = \sqrt {1,96} :( - 1,5);\\c)x:\sqrt 5 = \sqrt 5 :x\end{array}\)
\(\begin{array}{l}a)\frac{x}{{ - 3}} = \frac{7}{{0,75}}\\ \Rightarrow x.0,75 = ( - 3).7\\ \Rightarrow x = \frac{{( - 3).7}}{{0,75}} = - 28\end{array}\)
Vậy x = 28
\(\begin{array}{l}b) - 0,52:x = \sqrt {1,96} :( - 1,5)\\ - 0,52:x = 1,4:( - 1,5)\\ x = \dfrac{(-0,52).(-1,5)}{1,4}\\x = \frac{39}{{70}}\end{array}\)
Vậy x = \(\frac{39}{{70}}\)
\(\begin{array}{l}c)x:\sqrt 5 = \sqrt 5 :x\\ \Leftrightarrow \frac{x}{{\sqrt 5 }} = \frac{{\sqrt 5 }}{x}\\ \Rightarrow x.x = \sqrt 5 .\sqrt 5 \\ \Leftrightarrow {x^2} = 5\\ \Leftrightarrow \left[ {_{x = - \sqrt 5 }^{x = \sqrt 5 }} \right.\end{array}\)
Vậy x \( \in \{ \sqrt 5 ; - \sqrt 5 \} \)
Chú ý:
Nếu \({x^2} = a(a > 0)\) thì x = \(\sqrt a \) hoặc x = -\(\sqrt a \)
a: \(\dfrac{x}{-3}=\dfrac{7}{0.75}=\dfrac{28}{3}\)
=>\(x=\dfrac{28\left(-3\right)}{3}=-28\)
b: \(-\dfrac{0.52}{x}=\dfrac{\sqrt{1.96}}{-1.5}=\dfrac{1.4}{-1.5}\)
=>\(x=0.52\cdot\dfrac{1.5}{1.4}=\dfrac{39}{70}\)
c: \(\dfrac{x}{\sqrt{5}}=\dfrac{\sqrt{5}}{x}\)
=>\(x^2=5\)
=>\(x=\pm\sqrt{5}\)
Tìm x ,biết:
a)\(5x\):\(\frac{3}{5}=\frac{4}{7}:\sqrt{\frac{4}{49}}\)
b)\(0,15:3\sqrt{x}=0,3:\frac{2}{3}\)
a,\(\frac{25x}{3}=\frac{\frac{4}{7}}{\frac{2}{7}}=7\)=> x=\(\frac{21}{25}\)
b,\(\frac{0,15}{3\sqrt{x}}=\frac{0,3\cdot3}{2}\)<=>\(0,3=0,3\cdot9\sqrt{x}\)Hay \(\sqrt{x}=\frac{1}{9}=>x=\frac{1}{3}\)
Tìm x trong các tỉ lệ thức sau:
a) \(\left(\frac{1}{3}.x\right):\frac{2}{3}=1\frac{3}{4}:\frac{2}{5}\)
b) 4,5 : 0,3 = 2,25 : (0,1 .x)
c) 8 : \(\left(\frac{1}{4}.x\right)=2:0,02\)
d) 3 : \(2\frac{1}{4}=\frac{3}{4}:\left(6.x\right)\)
\(\frac{1}{3}x:\frac{2}{3}=1\frac{3}{4}:\frac{2}{5}\)
\(\Rightarrow\frac{1}{3}x:\frac{2}{3}=\frac{35}{8}\)
\(\Rightarrow\frac{1}{3}x=\frac{35}{12}\)
\(\Rightarrow x=\frac{35}{4}\)
a) \(\left(\frac{1}{3}\cdot x\right):\frac{2}{3}=1\frac{3}{4}:\frac{2}{5}\)
\(=\left(\frac{1}{3}\cdot x\right):\frac{2}{3}=\frac{35}{8}\)
\(\Rightarrow\frac{1}{3}\cdot x=\frac{35}{8}\cdot\frac{2}{3}\)
\(\Rightarrow x=\frac{35}{12}:\frac{1}{3}=\frac{35}{4}\)
b) \(4,5:0,3=2,5:\left(0,1\cdot x\right)\)
\(=15=2,5:\left(0,1\cdot x\right)\)
\(\Rightarrow0,1\cdot x=2,25:15\)
\(\Rightarrow x=\frac{3}{20}:0,1=\frac{3}{2}=1,5\)
c) \(8:\left(\frac{1}{4}\cdot x\right)=2:0,02\)
\(8:\left(\frac{1}{4}\cdot x\right)=100\)
\(\Rightarrow\frac{1}{4}\cdot x=8:100\)
\(\Rightarrow x=\frac{2}{25}:\frac{1}{4}=\frac{8}{25}=0,32\)
d) \(3:2\frac{1}{4}=\frac{3}{4}:\left(6\cdot x\right)\)
\(=\frac{4}{3}=\frac{3}{4}:\left(6:x\right)\)
\(\Rightarrow6\cdot x=\frac{3}{4}:\frac{4}{3}\)
\(\Rightarrow x=\frac{9}{16}:6=\frac{3}{32}=0,09375\)
tìm x trong tỉ lệ thức sau :
x/0,3 = 7,5/x
x/0,3 = 7,5/x
=>x^2 = 2,25
=>x^2 = (1,5)^2 hoặc x = (-1,5)^2
=>x = 1,5 hoặc x = -1,5
x/0.3=7.5/x
=>x^2=7.5*0.3
=>x^2=2.25
=>x=+-1.5
tìm x trong tỉ lệ thức: 4 1/3 : x/4 = 6 : 0,3
413 :x4 =60,3
⇒133 :x4 =20
⇒x4 =133 :20
⇒x4 =1360
⇒x=1360 .4
⇒x=1315
<=> 13/3 : x/4 = 20
<=> x/4 = 13/3 : 20 = 13/60
<=> x = 13/60 . 4 = 13/15
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Tìm các số hữu tỉ x trong tỉ lệ thức sau
X/ 3,15=0,15/7,2
-2,6/x=-12/42
Tìm số x trong tỉ lệ thức sau:
(-0,4) : x = 1,2 : 0,3
Vì (-0,4) : x = 1,2 : 0,3 nên \(\frac{{ - 0,4}}{x} = \frac{{1,2}}{{0,3}} \Rightarrow ( - 0,4).0,3 = 1,2.x \Rightarrow x = \frac{{( - 0,4).0,3}}{{1,2}} = - 0,1\)
Vậy x = - 0,1
Tìm x trong các tỉ lệ thức sau:
a, ( 1/3 . x ) : 2/3 = 7/4 : 2/5
b, 4,5 : 0,3 = 2,25 : ( 0,1 . x )
c, 8 : ( 1/4 . x ) = 2 : 0,02
d, 3 : 9/4 = 3/4 : ( 6 . x )
a) \(\left(\frac{1}{3}.x\right):\frac{2}{3}=\frac{7}{4}:\frac{2}{5}\)
\(\left(\frac{1}{3}.x\right):\frac{2}{3}=\frac{35}{8}\)
\(\Rightarrow\frac{1}{3}.x=\frac{35}{8}.\frac{2}{3}\)
\(\Rightarrow\frac{1}{3}.x=\frac{35}{12}\)
\(\Rightarrow x=\frac{35}{12}:\frac{1}{3}\)
\(\Rightarrow x=\frac{35}{4}\)
Vậy \(x=\frac{35}{4}\)
\(a.\left(\frac{1}{3}.x\right):\frac{2}{3}=\frac{7}{4}:\frac{2}{5}\)
\(\left(\frac{1}{3}.x\right):\frac{2}{3}=\frac{35}{8}\)
\(\left(\frac{1}{3}.x\right)=\frac{35}{8}.\frac{2}{3}\)
\(\left(\frac{1}{3}.x\right)=\frac{35}{12}\)
\(x=\frac{35}{12}:\frac{1}{3}\)
\(x=\frac{35}{4}\)
\(b.4,5:0,3=2,25:\left(0,1.x\right)\)
\(\Rightarrow2,25:\left(0,1.x\right)=4,5:0,3\)
\(2,25:\left(0,1.x\right)=15\)
\(2,25:\left(0,1.x\right)=2,25:15\)
\(\left(0,1.x\right)=0,15\)
\(x=0,15:0,1\)
\(x=1,5\)
\(c.8:\left(\frac{1}{4}.x\right)=2:0,02\)
\(8:\left(\frac{1}{4}.x\right)=100\)
\(\left(\frac{1}{4}.x\right)=8:100\)
\(\left(\frac{1}{4}.x\right)=\frac{2}{25}\)
\(x=\frac{2}{25}:\frac{1}{4}\)
\(x=\frac{8}{25}\)
\(d.3:\frac{9}{4}=\frac{3}{4}:\left(6.x\right)\)
\(\Rightarrow\frac{3}{4}:\left(6.x\right)=3:\frac{9}{4}\)
\(\frac{3}{4}:\left(6.x\right)=\frac{4}{3}\)
\(\left(6.x\right)=\frac{3}{4}:\frac{4}{3}\)
\(\left(6.x\right)=\frac{9}{16}\)
\(x=\frac{9}{16}:6\)
\(x=\frac{3}{32}\)
^...^ ^_^
Tìm x trong các tỉ lệ thức sau:
a) \(\left(\frac{1}{3}.x\right):\frac{2}{3}=1\frac{3}{4}:\frac{2}{5}\)
b) 4,5 : 0,3 = 2,25 : ( 0,1 .x)
c) \(8:\left(\frac{1}{4}.x\right)=2 :0,02\)
d) \(3:2\frac{1}{4}=\frac{3}{4}:\left(6.x\right)\)