(1)已知x^2+3xy-4y^2=0,求(x+2y)分之x-2y的值
问题描述:
(1)已知x^2+3xy-4y^2=0,求(x+2y)分之x-2y的值
(2)若x,y为实数,(x^2+y^2)(x^2-1+y^2)=12,求x^2+y^2的值
答
1:x^2+3xy-4y^2=0
(x-y)(x+4y)=0
x=y,x=-4y
(x+2y)分之(x-2y)=-1/3 或-3
2:,(x^2+y^2)(x^2-1+y^2)=12
令x²+y²=a
a(a-1)=12
(a-4)(a+3)=0
a=4,a=-3(舍去)
x^2+y^2=4