Question

How many real and imaginary roots does the equation y2=x3-1 have

(a) 2 real, 1 imaginary

(b) all real

(c) all imaginary

(d) 2 imaginary, 1 real

The question was posed to me by my school teacher while I was bunking the class.

The question is from Elliptic Curve Arithmetic/Cryptography in chapter Other Public Key Cryptosystems and Cryptographic Hash Functions of Cryptograph & Network Security

Answer 1

Right answer is (d) 2 imaginary, 1 real

The best explanation: On solving the equation we get 2 imaginary and 1 real root.