Question

Gaseste pe "a" si apoi verifica-l:

[( 2xa-1024:4):2-32]-14=17

Answer 1

[ ( 2 x a - 1024 : 4 ) : 2 - 32 ] - 14 = 17
[( 2a - 256 ) : 2- 32 ] = 17 + 14
( 2a - 256 ) : 2 - 32 = 31
( 2a - 256 ) : 2 = 31 + 32
( 2a - 256 ) : 2 = 63
2a - 256 = 63 x 2
2a - 256 = 126
2a = 126 + 256
2a = 382
a = 382 : 2
a = 191

[(2 x 191 - 1024 : 4 ) : 2 - 32 ] - 14 =
[(382 - 256 ): 2 - 32 ] - 14 =
126 : 2 - 32 - 14 =
63 - 32 - 14 =
31 - 14 = 17

Answer 2

$[(2 \cdot a-1024:4):2-32]-14=17 \\ \\ (2 \cdot a-1024:4):2-32 =17+14 \\ \\ (2 \cdot a-1024:4):2-32 =31 \\ \\ (2 \cdot a-1024:4):2=31+32 \\ \\ (2 \cdot a -1024:4):2=63 \\ \\ 2 \cdot a -256=63 \cdot 2 \\ \\ 2 \cdot a-256=126 \\ \\ 2 \cdot a=126+256$

$2 \cdot a =382 \\ \\ a=382:2 \\ \\ \boxed{a=191}$

$Verificare: \\ \\ \big[(2 \cdot 191-1024:4):2-32 \big]-14= \\ \\ =\big [(382-256):2-32 \big]-14= \\ \\ =(126 :2-32)-14= \\ \\ =(63-32)-14= \\ \\ =31-14= \\ \\ =17.$