X^2+2xy-y^2+3x-4y+9=0 x^2+4xy-2y^2-5x-8y+8=o
问题描述:
X^2+2xy-y^2+3x-4y+9=0 x^2+4xy-2y^2-5x-8y+8=o
解方程
答
x²+2xy-y²+3x-4y+9=0 (1)
x²+4xy-2y²-5x-8y+8=0 (2)
(1)×2-(2)可得x²+11x+10=0即(x+1)(x+10)=0
解得x=-1或者-10
当x=-1时y=1或-7
当x=-10时y=-12±√223(√223为根号下223)
解为x=-1,y=1;x=-1,y=-7;x=-10,-12+√223;x=-10,-12-√223