Question

已知X等于根号下3+根号下2分之根号下3-根号下2则X方-10X+1的值等于?

Answer 1

X等于根号下3+根号下2分之根号下3-根号下2

x=(√3-√2)/(√3+√2)

=(√3-√2)^2/(√3+√2) (√3-√2)

=5-2√6

X方-10X+1

=x(x-10)+1

=(5-2√6)(5-2√6-10)+1

=-(5-2√6)(5+2√6)+1

=-(25-24)+1

=-1+1

=0