Question

Решение систем уравнений второй степени

Answer 1

$left { {{y^2-x^2=-6} atop {y-x=-6(x+y)}} right. \ left { {{y^2-x^2=-6} atop {7y=-5x}} right. \ left { {{( frac{-5x}{7})^2-x^2=-6 } atop {y= frac{-5x}{7} }} right. \ (frac{-5x}{7})^2-x^2=-6 \ frac{25x^2-49x^2}{49}=-6 \ -24x^2=-294 \ 4x^2=49 \ x_{1}= frac{7}{2} \ x_{2}=- frac{7}{2} \ y_{1}= frac{-5* frac{7}{2} }{7}= -frac{5}{2} \ y_{2}= frac{-5*( -frac{7}{2}) }{7}= frac{5}{2}$