Question

розвяжіть систему рівнянь x+y=4, 5xy-x^2=-64​

Answer 1

$left { {{x+y=4} atop {5xy-x^{2} =-64}} right\\left { {{y=4-x}atop {5x*(4-x)-x^{2} =-64}} right.\\left { {{y=4-x} atop {20x-5x^{2}-x^{2}=-64}} right.\\left { {{y=4-x} atop {-6x^{2}+20x+64=0 }} right.\\left { {{y=4-x} atop {3x^{2}-10x-32=0 }} right.\\1)left { {{x=-2} atop {y=4-2=2}} right.\\2)left { {{x=5frac{1}{3}} atop {y=4-5frac{1}{3}=-1frac{1}{3}}} right.\\OTVET: (-2;2),(5frac{1}{3};-1frac{1}{3})$