Question

已知x的平方+x-1=0，求x的3次方+2x的平方+2006的值

Answer 1

x^2+x-1=0
=>x^2+x=1

x^3+2x^2+2006
=x(x^2+x)+x^2+2006
=x+x^2+2006
=1+2006
=2007

Answer 2

When I am down and, oh my soul, so weary
When troubles come and my heart burdened be
Then, I am still and wait here in the silence
Until you come and sit awhile with me
You raise me up, so I can stand on mountains
You raise me up, to walk on stormy seas
I am strong, when I am on your shoulders
You raise me up… To more than I can be

You raise me up, so I can stand on mountains
You raise me up, to walk on stormy seas
I am strong, when I am on your shoulders
You raise me up… To more than I can be

You raise me up, so I can stand on mountains
You raise me up, to walk on stormy seas
I am strong, when I am on your shoulders
You raise me up… To more than I can be
You raise me up, so I can stand on mountains
You raise me up, to walk on stormy seas
I am strong, when I am on your shoulders
You raise me up… To more than I can be
You raise me up… To more than I can be

Answer 3

x^3+2x^2+2006=(x^3+x^2-x) +(x^2+x-1)+2007=0+0+2007=2007