The equation x^2 + 1=0 has.....

Question

the equation x^2 + 1=0 has... a)exactly 2 distinct real roots b)exactly 2 distinct imaginary roots c)exactly 3 distinct real roots d)exactly 1 real root and 2 distinct imaginary roots 

Answer 1

Hello Gero.

 

Let's work this out.

 

If x²+1 = 0

then x² = -1

 

Recall that i² = -1 and (-i)² = -1

so x² = i²  and x² = (-i)²

therefore x = -i, i

 

There are 2 imaginary solutions.