Question

решите систему уравнения

Answer 1

$left { {{x-y=25} atop {xy=144}} right.; ; left { {{y=x-25} atop {x(x-25)=144}} right. ; ; left { {{y=x-25} atop {x^2-25x-144=0}} right. \\x^2-25x-144=0; ,; ; D=1201; ,; ; x_{1,2}=frac{25pm sqrt{1201}}{2}\\y_{1}=frac{25-sqrt{1201}}{2}-25=frac{-25-sqrt{1201}}{2}; ,; ; y_2=frac{25+sqrt{1201}}{2} -25=frac{-25+sqrt{1201}}{2}\\Otvet:; ; Big (frac{25-sqrt{1201}}{2}, ;, frac{-25-sqrt{1201}}{2}Big ); ,; Big (frac{25+sqrt{1201}}{2}, ;, frac{-25+sqrt{1201}}{2}Big ); .$