Question

Решение систем уравнений второй степени

Answer 1

(x-y)(x+y)=6
(x-y)=(x+y)*6

x+y=1
X-y=6

X=3.5
Y=-2.5

x+y=-1
X-y=-6

X=-3,5
Y=2,5

Answer 2

x²-y²=(x-y)(x+y)=6
x-y=6(x+y)
6(x+y)²=6
(x+y)²=1
x+y=1 y=1-x   x-(1-x)=6(x+1-x)  2x-1=6   2x=7  x1=3.5  y1=1-3.5=-2.5
x+y=-1   y=-1-x  x-(-1-x)=6(x-1-x)  2x+1=-6  2x=-7  x2=-3.5 y2=-1-x2=-1+3.5=2.5