Question

Determinati numerele naturale x si y stiind ca x la puterea a 2 ori (y+3)=864

Answer 1

$x^{2} *(y+3)=864 \\ x^{2} =( 2^{2})^{2}* 3^{2}= 4^{2}* 3^{2} \\ x^{2} = 12^{2} \\ x=12 \\ 144*(y+3)=864 \\ 144y+144*3=864 \\ 144y+432=864 \\ 144y=864-432 \\ 144y=432 \\ y=432:144 \\ y=3 \\ Proba:144*(3+3)=864 \\ 144*6=864.$