Discuss the following tough questions!

1.Solve for K in P(x) = k²- 8.

2.Determine the negative values that are possessed by a random variable given that the variable are negative.

3.A set of numbers z which are very complex and satisfies |z-| forms which shape?

4.Determine the factor of x⁶+ 4x⁵+3x⁴+2x³+x+1 a polynomial whose complex cube root of unity is .

5.Give the representation of the statement Q * -> Q.

6.Determine the number of states that are required in order or string ends with 10 to be accepted.

7.Determine the technique through which where 7 messages are needed in the public key distribution scenario, only 5 of the messages needs to be used infrequently mainly because A and B can save the other's public key for the future.

8.Determine the number of handshakes rounds that are required in the public key distribution scenario.

9.Given that P = (4, 3.464), determine the value of 2P in the elliptic curve group which is defined by y2= x3- 17x + 16 over real numbers.

10. Determine whether true or false; The elliptic curve cryptography follows the associative property.