已知|2x-y|=3,求8x^2-8xy+2y^2-8x+4y-6

来源:学生作业帮助网 编辑:作业帮 时间:2024/12/01 02:51:23
已知|2x-y|=3,求8x^2-8xy+2y^2-8x+4y-6
x){}Kk*t+kluml3ҵ63M*ulV_`gCpU fmhw i: X8& @ tơƚ&(<똆0F 1?ih

已知|2x-y|=3,求8x^2-8xy+2y^2-8x+4y-6
已知|2x-y|=3,求8x^2-8xy+2y^2-8x+4y-6

已知|2x-y|=3,求8x^2-8xy+2y^2-8x+4y-6
|2x-y|=3,(2x-y)^2=9,2(2x-y)^2=18,
即 8x^2-8xy+2y^2=18,
则 f(x,y) = 8x^2-8xy+2y^2-8x+4y-6 = 12-8x-4y =12-4(2x-y)= 12-4(±3),
则 f(x,y)=0 或 f(x,y) = 24