Respuesta :
Answer:
The correct option is A.
Step-by-step explanation:
The given equation is
[tex]5-2m-3m^2=0[/tex] ..... (1)
If a quadratic equation is defined as
[tex]ax^2+bx+c=0[/tex] ...... (2)
then product of roots is c/a.
From (1) and (2), we get
[tex]a=-3,b=-2,c=5[/tex]
So, the product of the roots of given equation is
[tex]\text{Product of roots}=\frac{c}{a}[/tex]
[tex]\text{Product of roots}=\frac{5}{-3}[/tex]
[tex]\text{Product of roots}=-\frac{5}{3}[/tex]
Therefore the correct option is A.