A quadratic equation given roots is solved by using the relation

from the question,
sum of the root will be



and also, product of the roots will
be

now substituting the sum of roots and product of roots into the equation


as the quadratic equation for the root 3/4 and -4
Answer:
Multiplication equation 6 t = 54 6t = 54 6t=54 Multiply each side by five.
Hmmm... a geometric sequence MUST have a fixed common ratio. If it is changing, then the sequence you are looking at might not be a geometric sequence at all. We'd need to see an example to be sure.
2/3 c = d
multiply both sides by 3/2:-
c = (3/2) d
All these given roots are contained in option C.
The given equation is :






Roots = 
Hence these lie in between 