已知X的MN次方=51,X的M次方=17,求X得3N次方的值还有一道已知X平方-2X=2,求(X-1)平方-(X-3)(-X-3)+(X-3)(X-1)的值.急要~
问题描述:
已知X的MN次方=51,X的M次方=17,求X得3N次方的值
还有一道已知X平方-2X=2,求(X-1)平方-(X-3)(-X-3)+(X-3)(X-1)的值.急要~
答
(X-1)平方-(X-3)(-X-3)+(X-3)(X-1)提公因式化简可得3x平方-6x-5而X平方-2X=2所以结果为1.
答
最后答案是1
答
X的MN次方=x的M次方*x的N次方=51
因为X的M次方=17,所以x的N次方=51÷17=3
X得3N次方=(x的N次方)³=3³=27
(X-1)平方-(X-3)(-X-3)+(X-3)(X-1)
=(x-1)²+(x-3)(x+3)+(x-3)(x-1)
=(x-1)²+(x-3)(x+3+x-1)
=x²-2x+1+(x-3)(2x+2)
=x²-2x+1+2x²-4x-6
=3x²-6x-5
=3(x²-2x)-5
=3×2-5
=1