解方程组x^2-y^2=1&x^2+2y^2=10

问题描述:

解方程组x^2-y^2=1&x^2+2y^2=10

x^2-y^2=1 (1)
x^2+2y^2=10(2)
(2)-(1)得,3y^2=9 -> y^2=3 -> y=±√3
x^2=1+y^2=4 -> x=±2