Question

已知X等于根号3减根号2 求X的5次方+X的四次方-10倍的X的3次方-10倍的X的2次方+2X +1的值

Answer 1

x=√3-√2

x^5+x^4-10x^3-10x^2+2x+1

=x^2(x^2-10)(x+1)+2x+1

=(5-2√6)(-5-2√6)(√3-√2+1)+2(√3-√2)+1

=√3-√2