The product of the roots of the equation : 1/2 x 2 - 5/4 x - 3=0

Product of the roots of the equation is -6

Solution:

If and are the roots of any quadratic equation then,

Sum of roots

Product of roots =

Given that

On simplifying the above equation,

Here a = 2, b = -5  and  c = -12

So product of roots is   that is

Hence product of the roots of the equation is -6

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

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step-by-step explanation: