Question

Determine the type and number of solutions of x^2 + 2x + 3 = 0.

one real solution
two imaginary solutions
two real solutions

Answer 1

The equation has 2 imaginary solutions

Explanation:

x² + 2x + 3 = 0

D = b² - 4ac

= 2² - 4(1)(3)

= -8

< 0

D>0 (2 real solutions)

D=0 (1 real solution)

D<0 (2 imaginary or no real

solutions)

(Correct me if i am wrong)