$\frac{a+2}{bx2}$ = $\frac{a}{b}$ Biết $\frac{a}{b}$ > 1 Tìm $\frac{a}{b}$
2 câu trả lời
Giải
$\dfrac{a+2}{b×2}$ = $\dfrac{a}{b}$
Để $\dfrac{a+2}{b×2}$ = $\dfrac{a}{b}$ thì $\dfrac{a+2}{b×2}$ = $\dfrac{a×2}{b×2}$
⇒ $\dfrac{a+2}{b×2}$ = $\dfrac{a×2}{b×2}$
⇒ a+2= a x 2
a + 2 = a+a
⇒ a=2
⇒ $\dfrac{a}{b}$ = $\dfrac{2}{b}$
Mà $\dfrac{2}{b}$ > 1 nên 2 > b
⇒ b = 1
⇒ $\dfrac{a}{b}$ = $\dfrac{2}{1}$
Đáp số : $\dfrac{a}{b}$ = $\dfrac{2}{1}$
Để `{a+2}/{b×2}=a/b`
→`{a+2}/{b×2}={a×2}/{b×2}`
`→(a+2)(b×2)=(b×2)(a×2)`
`→(a+2)(b×2)-(b×2)(a×2)=0`
`→(b×2)(a+2-2a)=0`
`→2b(-a+2)=0`
`→\(\left[ \begin{array}{l}2b=0\\-a+2=0\end{array} \right.\)`
`→\(\left[ \begin{array}{l}b=0\\a=2\end{array} \right.\)`
Mà `a/b>1`
`→b=1`
Vậy `a/b=2/1`