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2 la puterea x+1 +3*2 la puterea x+2 + 2 la puterea x+4=60x

Răspuns :

Emy78
2^(x+1)+3·2^(x+2)+2^(x+4)=60x
2^(x+1)[1+3·2+2³]=60x
15·2^(x+1)=60x |:15
2^(x+1)=4x
2²·2^(x-1)=4x |:4
2^(x-1)=x
x=2
Verificare: 2³+3·2^4+2^6=8+48+64=120
60·2=120
Deci S={2}

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