2的(x-3)次幂=1/2,求(x²-x的-2次幂)/(x+x的-1次幂)的值,
问题描述:
2的(x-3)次幂=1/2,求(x²-x的-2次幂)/(x+x的-1次幂)的值,
答
2的(x-3)次幂=1/2
x-3=﹣1
x=2
所以(x²-x的-2次幂)/(x+x的-1次幂)
=(2²-2的-2次幂)/(2+2的-1次幂)
= 15/4÷5/2
=3/2
答
∵2的(x-3)次幂=1/2=2﹣¹
∴x-3=-1
x=2
∴(x²-x的-2次幂)/(x+x的-1次幂)
=(x-1/x)(x+1/x)/(x+1/x)
=x-1/x
=2-1/2
=1.5