Question

Aratati ca nr x si y sunt PP
X=[2 la 30 la 2*(2la6)la100*2+(64la 4)la 100:2la 899]la2+2la 3007
Y=5*(3la 2002-3la2001-9 la 1000).
2: Daca 2*a+b=5 si 2*b+3*c=7 , calculati 4*a+8*b+9*c

Answer 1

X=[2⁹⁰⁰ *2⁶⁰¹+(2²⁴⁰⁰:2⁸⁹⁹]²+2³⁰⁰⁷=
=[2¹⁵⁰¹+2¹⁵⁰¹]²+2³⁰⁰⁷=
=(2¹⁵⁰²)²+2³⁰⁰⁷=
=2³⁰⁰⁴+2³⁰⁰⁷=
=2³⁰⁰⁴(2⁰+2³)=
=2³⁰⁰⁴(1+8)=
=2³⁰⁰⁴ *9=
=(2¹⁵⁰² *3)²=


 Y=5*(3²⁰⁰²-3²⁰⁰¹-9¹⁰⁰⁰)=
=5*(3²⁰⁰²-3²⁰⁰¹-3²⁰⁰⁰)=
=5*3²⁰⁰⁰(3²-3¹-3⁰)=
=5*3²⁰⁰⁰(9-3-1)=
=5*3²⁰⁰⁰*5=
=(5* 3¹⁰⁰⁰)² este patrat perfect

 2:
2a+b=5    inmultim cu 2   ⇒ 4a+2b=10 
2b+3c=7  inmultim  cu 3  ⇒ 6b+9c=21
adunam cele 2 relatii
4a+2b+6b+9c=10+21
 4a+8b+9c =31