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\(a.697:\dfrac{15a+364}{a}=17\\ =>\dfrac{15a+364}{a}=697:17=41\\ =>41a=15a+364\\ =>41a-15a=364\\ =>26a=364=>a=\dfrac{364}{26}=14 \\ b.92.4-27=\dfrac{a+350}{a}+315 \\ =>92.4-27-315=\dfrac{a+350}{a}\\ =>26=\dfrac{a+350}{a}\\ =>26a=a+350=>25a=350 \\ =>a=14\)
\(\left|x\right|=1+2+3+...+2010\)
\(\left|x\right|=\frac{\left(2010+1\right).2010}{2}\)
\(\left|x\right|=2011.1005\)
\(\left|x\right|=2021055\)
\(x=\pm2021055\)
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)
\(368-27=\frac{a+350}{a}+315\)
\(341=\frac{a+350}{a}+315\)
\(\left(a+350\right):a=341-315\)
\(\left(a+350\right):a=26\)
\(a+350=26a\)
\(\Rightarrow350=25a\)
\(\Rightarrow a=14\)
b, 92 : 4 - 27 = \(\dfrac{x+350}{x}\) + 315
23 - 27 = 1 + \(\dfrac{350}{x}\) + 315
316 + \(\dfrac{350}{x}\) = -4
\(\dfrac{350}{x}\) = - 316 - 4
\(\dfrac{350}{x}\) = -320
-320 \(x\) = 350
\(x\) = 350: (-320)
\(x\) = - \(\dfrac{35}{32}\) (loại)
Vậy \(x\) \(\in\) \(\varnothing\)
c, 720 : [ 41 - (2\(x\) - 5)] = 23.5
41 - (2\(x\) - 5) = 720 : (23.5)
41 - 2\(x\) + 5 = 18
46 - 2\(x\) =18
2\(x\) = 46 - 18
2\(x\) = 28
\(x\) = 28: 2
\(x\) = 14
Vậy \(x\) = 14
a: =>(15a+364)/a=41
=>41a=15a+364
=>26a=364
=>a=14
b: =>(a+350)/a=26
=>26a=a+350
=>a=14