终极审判 第二季:初二因式分解

来源:百度文库 编辑:高考问答 时间:2024/05/02 07:57:33
若x^2+y^2+25=6x+8y,则x-y=

x^2 + y^2 + 25 = 6x + 8y

x^2 + y^2 - 6x - 8y - 25 = 0
(x^2 - 6x + 9) + (y^2 - 8y + 16) = 0

(x - 3)^2 + (y - 4)^2 = 0

x = 3
y = 4

x - y = -1

x^2+y^2+25=6x+8y
x^2+y^2-6x+9-8y+16=0
(x-3)^2+(y-4)^2=0
x=3
y=4
x-y=-1