Solve in N^2 : a. { ((a^2 −b^2 =4704)),((GCD(a;b)=7)) :} b. { ((13GCD(a;b)−2SCM(a;b)=4)),((3<GCD(a;b)<7)) :} GCD: greatest common divisor SCM: smallest common multiple


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Question Number 124688 by mathocean1 last updated on 05/Dec/20
$Solve in N^2 : a. { ((a^2 −b^2 =4704)),((GCD(a;b)=7)) :} b. { ((13GCD(a;b)−2SCM(a;b)=4)),((3<GCD(a;b)<7)) :} GCD: greatest common divisor SCM: smallest common multiple$
$S o l v e i n N^{2} :$ $a . {\begin{cases} a^{2} - b^{2} = 4704 \\ G C D (a; b) = 7 \end{cases}$ $b . {\begin{cases} 13 G C D (a; b) - 2 S C M (a; b) = 4 \\ 3 < G C D (a; b) < 7 \end{cases}$ $G C D : g r e a t e s t c o m m o n d i v i s o r$ $S C M : s m a l l e s t c o m m o n m u l t i p l e$
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