Question

find the product of roots of a quadratic equation 1/√6 × x2 - 3x - 1/√2

Answer 1

Product of roots = c / a

Here ,

a = 1/√6

b = -3

c = -1/√2

So , product will be = c / a

=

$= \frac{ \frac{ - 1}{ \sqrt{2} } }{ \frac{1}{ \sqrt{6} } } \\ = \frac{ - \sqrt{6} }{ \sqrt{2} } \\ = - \sqrt{ \frac{6}{2} } \\ = - \sqrt{3}$