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)

\(368-27=\frac{a+350}{a}+315\)

\(341=\frac{a+350}{a}+315\)

\(\left(a+350\right):a=341-315\)

\(\left(a+350\right):a=26\)

\(a+350=26a\)

\(\Rightarrow350=25a\)

\(\Rightarrow a=14\)

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\(a.697:\dfrac{15a+364}{a}=17\\ =>\dfrac{15a+364}{a}=697:17=41\\ =>41a=15a+364\\ =>41a-15a=364\\ =>26a=364=>a=\dfrac{364}{26}=14 \\ b.92.4-27=\dfrac{a+350}{a}+315 \\ =>92.4-27-315=\dfrac{a+350}{a}\\ =>26=\dfrac{a+350}{a}\\ =>26a=a+350=>25a=350 \\ =>a=14\)

\(\left|x\right|=1+2+3+...+2010\)

\(\left|x\right|=\frac{\left(2010+1\right).2010}{2}\)

\(\left|x\right|=2011.1005\)

\(\left|x\right|=2021055\)

\(x=\pm2021055\)

\(2^x=2+4+6+...+2010\)

\(2^x=\frac{\left(2010+2\right).1005}{2}\)

\(2^x=1006.1005\)

\(x=\frac{log\left(1011030\right)}{log\left(2\right)}\)(Nguồn: wolframalpha)

\(697\div15a+\frac{364}{a}=17\)

\(\frac{697}{15a}+\frac{5460}{15a}=17\)

\(6157=17.15a\)

\(6197=255a\)

\(a=\frac{6197}{255}\)