Answer with Step-by-step explanation:
We are given roots of a equation to be:
1+√5 and 1-√5
We have to find its product
i.e. we have to find the value of (1+√5)(1-√5)
(1+√5)(1-√5)=1(1-√5)+√5(1-√5)
=1-√5+√5-5
= -4
Hence, product of the roots of a quadratic equation with roots 1±√5 is:
-4
