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Winter vacation homework's answer to the third grade math.
From the relationship between root and coefficient, we can know the solution.

- 1×a=-4/(√5- 1)

That is-a =-4 (√ 5+1)/(√ 5-1) (√ 5+1).

That is, a=√5+ 1

Therefore, a 3-2a 2-4a

=a(a^2-2a-4)

=a[(a- 1)^2-5]

=(√5+ 1)[(√5+ 1- 1)^2-5]

=(√5+ 1)[(√5)^2-5]

=(√5+ 1)×0

=0