\(697:\frac{15a+364}{a}=17\)

\(\Leftrightarrow\frac{15a+364}{a}=41\Leftrightarrow15a+364=41a\Leftrightarrow15a-41a=-364\Leftrightarrow-26a=-364\Leftrightarrow a=14\)

\(697:\frac{15\cdot x+364}{x}=17\)

=> \(\frac{15\cdot x+364}{x}=697:17=41\)

=> \(15\cdot x+364=41x\)

=> \(15x+364=41x\)

=> \(364=41x-15x\)

=> \(364=26x\)

=> \(x=364:26=14\)

\(\Rightarrow\frac{15x+364}{x}=697:17=41\)

\(\Rightarrow15+\frac{364}{x}=41\)

\(\frac{364}{x}=41-15=26\)

x = 364 : 26 = 14

\(\frac{15x+364}{x}=697:17=41\)

\(15x+364=41x\)

\(364=41x-15x\)

\(26x=364\)

\(x=364:26=14\)

\(697:\frac{15x+364}{x}=17\)

=> \(\frac{15x+364}{x}=697:17\)

=> \(\frac{15x+364}{x}=41\)

=> 15x+364=41x

=> 15x-41x+364=0

=> -26x+364=0

=> -26x=-364

=> x=-364:(-26)

=> x=14

15.a+367/a = 697 : 17

15.a+367/a = 41

chia tử và mẫu với a 

15 + 367/a = 41 

367/a = 41-15

367/a = 26

a = 367 : 26

a= ( tự tính )

Trả lời:

a, x . ( 2013 + 2014 + 2015 ) = 0

=> x = 0 : ( 2013 + 2014 + 2015 )

=> x = 0

Vậy x = 0

b, x . 125 = 10000

=> x = 10000 : 125

=> x = 80

Vậy x = 80

c, 697 : [ ( 15 . x + 364 ) : x ] = 17 

=> ( 15 . x + 364 ) : x = 697 : 17

=> ( 15 . x + 364 ) : x = 41 

=> 15 . x + 364 = 41 . x

=> 41 . x - 15 . x = 364

=> ( 41 - 15 ) . x = 364

=> 26 . x = 364

=> x = 364 : 26

=> x = 14

Vậy x = 14

\(=>\frac{15.x+364}{x}=697:17\)

\(=>\frac{15.x}{x}+\frac{364}{x}=41\)

\(=>15+\frac{364}{x}=41\)

\(=>\frac{364}{x}=41-15\)

\(=>\frac{364}{x}=26\)

\(=>x=364:26\)

\(=>x=14\)

\(\Rightarrow\frac{15.x+364}{x}=697:17\)

\(\Rightarrow\frac{15.x+364}{x}=41\)

\(\Rightarrow15.x+364=41.x\)

\(\Rightarrow364=26.x\)

\(\Rightarrow x=14\)

a, \(\left(2x-4\right)\left(3x+12\right)=0\)

\(\Rightarrow\orbr{\begin{cases}2x-4=0\\3x+12=0\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}2x=4\\3x=-12\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=2\\x=-4\end{cases}}\)

b, \(697\div\frac{15x+364}{x}=17\)

\(\Rightarrow\frac{15x+364}{x}=697\div17\)

\(\Rightarrow\left(15x+364\right)\div x=41\)

\(\Rightarrow15x+364=41x\)

\(\Rightarrow15x-41x=-364\)

\(\Rightarrow-26x=-364\)

\(\Rightarrow x=-364\div\left(-26\right)\)

\(\Rightarrow x=14\)