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aflati toate nr a si b care stisfac egalitetea : (a-1)x(1+b)=10

Răspuns :

Danamocanu71
10=1·10;sau 10=10·1;
⇒a-1=1⇒a=2;
⇒1+b=10⇒b=9;
⇒a-1=10⇒a=11;
⇒1+b=1⇒b=0;
⇒10=2·5 sau 10=5·2;
⇒a-1=2⇒a=3;
⇒1+b=5⇒b=4;
⇒a-1=5⇒a=6;
⇒1+b=2⇒b=1;
⇒a∈[2,11,3,6];
⇒b∈[9,0,4,1];
10=2×5=5×2=1×10=10×1; (a-1)(1+b)=2×5=>(a-1)=2&(1+b)=5=>a=3&b=4; (a-1)(1+b)=5×2=>(a-1)=5&(1+b)=2=>a=6&b=1. (a-1)(1+b)=1×10=>(a-1)=1&(1+b)=10=>a=2&b=9; (a-1)(1×b)=10×1=>(a-1)=10&(1+b)=1=>a=11&b=0. a={2;3;6;11}&b={0;1;4;9}

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