Question

Решить систему методом алгеабрагического сложения:
x^2-2y^2=14
x^2+2y^2=18

Answer 1

$left { {{x^2-2y^2=14,} atop {x^2+2y^2=18;}} right. \ 2x^2=32, \ x^2=16, \ left [ {{x=-4, atop {x=4;}} right. \ left { {{-x^2+2y^2=-14,} atop {x^2+2y^2=18;}} right. \ 4y^2=4, \ y^2=1, \ left [ {{y=-1, atop {y=1;}} right. \ (-4;-1), (-4;1), (4;-1), (4;1).$