Tìm a biết 208/384=a-2/24
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208/384=a-2/24
=>a=208/384+2/24
=>a=208/384+32/384
=>a=208+32/384
=>a=240/384
=>a=5/8
\(\frac{208}{384}=a-\frac{2}{24}\)
\(a-\frac{2}{24}=\frac{208}{384}\)
\(a-\frac{1}{12}=\frac{13}{24}\)
\(a=\frac{13}{24}+\frac{1}{12}\)
\(a=\frac{5}{8}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{208}{384}=a-\frac{2}{24}\)
\(\Rightarrow a=\frac{208}{384}+\frac{2}{24}\)
\(\Rightarrow a=\frac{5}{8}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{208}{384}=\frac{a-2}{24}\Leftrightarrow208\times24=\left(a-2\right)384 \)
<=> 384a - 768 = 4992
<=> 384a = 5760
<=> a=5760/384
a=15
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{a}{b}=\frac{2}{3}\Rightarrow\frac{a}{3}=\frac{b}{3}\)
\(\Rightarrow\frac{a^2}{4}=\frac{b^2}{9}=\frac{a^2+b^2}{4+9}=\frac{208}{13}=16\)
\(\Rightarrow a^2=4.16=64\Rightarrow a=8\) (vì \(a\in N\)*)
\(b^2=9.16=144\Rightarrow b=12\) (vì \(b\in N\)*)
Giải:
Ta có: \(\frac{a}{b}=\frac{2}{3}\Rightarrow\frac{a}{2}=\frac{b}{3}\)
Đặt \(\frac{a}{2}=\frac{b}{3}=k\Rightarrow a=2k,b=3k\)
Mà \(a^2+b^2=208\)
\(\Rightarrow\left(2k\right)^2+\left(3k\right)^2=208\)
\(\Rightarrow2^2.k^2+3^2.k^2=208\)
\(\Rightarrow k^2.\left(2^2+3^2\right)=208\)
\(\Rightarrow k^2.13=208\)
\(\Rightarrow k^2=16\)
\(\Rightarrow k=\pm4\)
Mà \(a,b\in\) N*
\(\Rightarrow k=4\)
\(\Rightarrow a=8,b=12\)
Vậy \(a=8,b=12\)
22445
208*24=384*(a-2)
4992=384*(a-2)
a-2=4992/384=13
a=13+2=15