根号下(47-x)(x-47)=根号下(47-x)乘以根号下(x-47),求(x-1)乘以根号下((x的平方-3x+2)除以(x的平方-1))已知根号下((47-x)(x-47))=根号下(47-x)乘以根号下(x-47),求(x-1)乘以根号下((x的平方-3x+2)除以(x的平方-1))的值.
问题描述:
根号下(47-x)(x-47)=根号下(47-x)乘以根号下(x-47),求(x-1)乘以根号下((x的平方-3x+2)除以(x的平方-1))
已知根号下((47-x)(x-47))=根号下(47-x)乘以根号下(x-47),求(x-1)乘以根号下((x的平方-3x+2)除以(x的平方-1))的值.
答
因为:根号下(47-x)(x-47)=根号下(47-x)乘以根号下(x-47)所以,x=47(x-1)乘以根号下((x的平方-3x+2)除以(x的平方-1))=(x-1)√[((x-1)(x-2))/((x-1)(x+1))]=(x-1)√[(x-2)/(x+1)]=(47-1)√(47-2)/(47+1)=46√(45/48)=46...