已知实数a b c分别满足a^2-4b=8 b^2-6c=-14 c^2-8a=-23 则(a-b)^c=
问题描述:
已知实数a b c分别满足a^2-4b=8 b^2-6c=-14 c^2-8a=-23 则(a-b)^c=
答
a²-4b=8 (1)b²-6c=-14 (2)c²-8a=-23 (3)(1)+(2)+(3)a²-4b+b²-6c+c²-8a=-29(a²-8a+16)+(b²-4b+4)+(c²-6c+9)=0(a-4)²+(b-2)²+(c-3)²=0平方项恒非负,三非...