1/2: 0,5-1/4;0,25+1/8 :0,125-1/10 :0,1
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a.\(\frac{3}{5}+0,5-\frac{1}{4}+\frac{7}{2}\)/\(\frac{-6}{5}+\frac{1}{6}-\frac{13}{5}+0,5\)
=(\(\frac{3}{5}+\frac{1}{2}-\frac{1}{4}+\frac{7}{2}\)).60/(\(\frac{-6}{5}+\frac{1}{6}-\frac{13}{5}+\frac{1}{2}\)).60
=(36+30-15+210)/(-72+10-156+30)
=261/-188
1) \(5-\left(1+\dfrac{1}{3}\right):\left(1-\dfrac{1}{3}\right)\)
\(=5-\dfrac{4}{3}:\dfrac{2}{3}\)
\(=5-\dfrac{4}{3}\cdot\dfrac{3}{2}\)
\(=5-\dfrac{4}{2}\)
\(=5-2\)
\(=3\)
b) \(\left(1+\dfrac{2}{3}-\dfrac{5}{4}\right)-\left(1-\dfrac{5}{4}\right)+2022-\dfrac{2}{3}\)
\(=1+\dfrac{2}{3}-\dfrac{5}{4}-1+\dfrac{5}{4}++2022-\dfrac{2}{3}\)
\(=\left(1-1\right)+\left(\dfrac{2}{3}-\dfrac{2}{3}\right)+\left(-\dfrac{5}{4}+\dfrac{5}{4}\right)+2022\)
\(=0+0+0+2022\)
\(=2022\)
2) \(0,7^2\cdot x=0,49^2\)
\(\Rightarrow x=\dfrac{0,49^2}{0,7^2}\)
\(\Rightarrow x=\left(\dfrac{0,49}{0,7}\right)^2\)
\(\Rightarrow x=\left(0,7\right)^2\)
\(\Rightarrow x=0,49\)
b) \(x:\left(-0,5\right)^3=\left(0,5\right)^2\)
\(\Rightarrow x=\left(0,5\right)^2\cdot\left(-0,5\right)^3\)
\(\Rightarrow x=\left(-0,5\right)^5\)
\(\Rightarrow x=-\dfrac{1}{32}\)
2:
a: =>x*0,49=0,49^2
=>x=0,49
b: =>x=(0,5)^2*(-1)*(0,5)^3=-(0,5)^5
It ' s very very interesting.
Hay quá à, chưa được thấy bao giờ luôn.
a: \(=\dfrac{5}{4}\cdot\dfrac{2}{5}\cdot\dfrac{17}{21}\cdot\dfrac{7}{34}=\dfrac{1}{2}\cdot\dfrac{1}{2}\cdot\dfrac{1}{3}=\dfrac{1}{12}\)
b: =>0,5^x(0,5+1)=1,5
=>0,5^x=1
=>x=0
c: =>x*0,05-0,25*x=-1,2
=>-0,3*x=-1,2
=>x=4
d: =>x-1=1 hoặc x-1=-1
=>x=0 hoặc x=2
e: =5+4=9
(y - 0,5)4 + (y + 0,5)4 = 1
<=> (y - 0,5)4 + (y - 0,5 + 1)4 = 1
Đặt y - 0,5 = a
<=> a4 + (a + 1)4 = 1
<=> a4 + a4 + 4a3 + 6a2 + 4a + 1 = 1
<=> 2a4 + 4a3 + 6a2 + 4a = 0
<=> 2a(a3 + 2a2 + 3a + 2) = 0
<=> a(a3 + a2 + a2 + a + 2a + 2) = 0
<=> a(a + 1)(a2 + a + 2) = 0
<=> a(a + 1) = 0 (vì a2 + a + 2 = (a2 + a + 1/4) + 7/4 = (a + 1/2)2 + 7/4 > 0)
<=> \(\orbr{\begin{cases}a=0\\a+1=0\end{cases}}\) <=> \(\orbr{\begin{cases}a=0\\a=-1\end{cases}}\)
Với a = 0 => y - 0,5 = 0 <=> y = 0,5
Với a = -1 => y - 0,5 = -1 <=> y = -0,5
Vậy S = {0,5; -0,5}
Không khó đâu nhé em:
\(75\%+\frac{1}{4}-\frac{1}{4}:0,25+\frac{1}{8}:0,125-\frac{1}{2}:0,5\)
\(=\frac{3}{4}+\frac{1}{4}-\frac{1}{4}:\frac{1}{4}+\frac{1}{8}:\frac{1}{8}-\frac{1}{2}:\frac{1}{2}\)
\(=\frac{3}{4}+\frac{1}{4}-1+1-1\)
\(=1-1+1-1\)
\(=0\)
Bài này dài nhể :
\(\frac{1}{2}:0,5-\frac{1}{4}=\frac{1}{2}:\frac{1}{2}-\frac{1}{4}=1-\frac{1}{4}=\frac{3}{4}\)
\(0,25+\frac{1}{8}:0,125-\frac{1}{10}:0,1\)
= \(\frac{1}{4}+\frac{1}{8}:\frac{1}{8}-\frac{1}{10}:\frac{1}{10}=\left(\frac{1}{4}+1\right)-1=\frac{5}{4}-1=\frac{1}{4}\)
Bài này dài nhể :
\(\frac{1}{2}:0,5-\frac{1}{4}=\frac{1}{2}:\frac{1}{2}-\frac{1}{4}=1-\frac{1}{4}=\frac{3}{4}\)
\(0,25+\frac{1}{8}:0,125-\frac{1}{10}:0,1\)
= \(\frac{1}{4}+\frac{1}{8}:\frac{1}{8}-\frac{1}{10}:\frac{1}{10}=\left(\frac{1}{4}+1\right)-1=\frac{5}{4}-1=\frac{1}{4}\)