Tìm a \(\in\) N:
a) \(697:\frac{15a+364}{a}=17\)
b) \(92\cdot4-27=\frac{a+350}{a}+315\)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a.\(697:\frac{15.a+364}{a}=17\)
\(\Leftrightarrow\frac{15.a+364}{a}=41\)
\(\Leftrightarrow15.a+364=41.a\)
\(\Leftrightarrow15.a-41.a=-364\)
\(\Leftrightarrow a.\left(15-41\right)=-364\)
\(\Leftrightarrow a.\left(-26\right)=-364\)
\(\Leftrightarrow a=14\)
b.\(92.4-27=\frac{a+350}{a}+315\)
\(\Leftrightarrow368-27=\frac{a+350}{a}+315\)
\(\Leftrightarrow\frac{a+350}{a}+315=341\)
\(\Leftrightarrow\frac{a+350}{a}=26\)
\(\Leftrightarrow a+350=a.26\)
\(\Leftrightarrow350=a.26-a\)
\(\Leftrightarrow a.\left(26-1\right)=350\)
\(\Leftrightarrow a.25=350\)
\(\Leftrightarrow a=14\)
a) x15 = x => x15 - x = 0 => x. x14 - x = 0 => x. (x14 - 1) = 0 => x = 0 hoặc x14 - 1 = 0
x14 - 1 = 0 => x14 = 1 => x = 1 hoặc x = -1
b) => (x - 5)4 - (x - 5)6 = 0 => (x - 5)4 - (x - 5)2. (x - 5)4 = 0 => (x - 5)4 . [1 - (x - 5)2] = 0
=> (x - 5)4 = 0 hoặc 1 - (x - 5)2 = 0
+) (x - 5)4 = 0 =>x - 5 = 0 => x = 5
+) 1 - (x - 5)2 = 0 => (x - 5)2 = 1 => x - 5 = 1 hoặc x - 5 = -1
=> x = 6 hoặc x = 4
Vậy...
c) => \(\frac{15.a+364}{a}=\frac{697}{17}\Rightarrow15+\frac{364}{a}=41\Rightarrow\frac{364}{a}=41-15=26\)=> a = 364: 26 = 14
d) => 368 - 27 = 1 + \(\frac{350}{a}\) + 315
=> 341 = 316 + \(\frac{350}{a}\)=> 350/a = 341 - 316 = 25 => a = 350/25 = 14
\(a.697:\dfrac{15a+364}{a}=17\\ =>\dfrac{15a+364}{a}=697:17=41\\ =>41a=15a+364\\ =>41a-15a=364\\ =>26a=364=>a=\dfrac{364}{26}=14 \\ b.92.4-27=\dfrac{a+350}{a}+315 \\ =>92.4-27-315=\dfrac{a+350}{a}\\ =>26=\dfrac{a+350}{a}\\ =>26a=a+350=>25a=350 \\ =>a=14\)
a) \(697:\frac{15a+364}{a}=17\)
\(\Rightarrow\frac{15a+364}{a}=697:17\)
\(\Rightarrow\frac{15a+364}{a}=41\)
\(\Rightarrow15a+364=41a\)
\(\Rightarrow364=26a\Rightarrow a=364:26\)
\(\Rightarrow a=14\)
b)
\(368-27=\frac{a+350}{a}+315\)
\(341=\frac{a+350}{a}+315\)
\(\left(a+350\right):a=341-315\)
\(\left(a+350\right):a=26\)
\(a+350=26a\)
\(\Rightarrow350=25a\)
\(\Rightarrow a=14\)
các bạn làm dễ hiểu phết