Question

If the roots of a quadratic equation are 1±√5, then the product of the roots is:

Answer 1

(1+sqrt(5))(1-sqrt(5))

FOIL

1 - sqrt(5) + sqrt(5) - 5

-4

Answer 2

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