If the discriminant b2 - 4ac is negative,

Question

If the discriminant b² - 4ac is negative, then the equation will have ____?

a.

1 rational solution

b.

2 complex solutions containing i

c.

2 rational solutions

d.

2 irrational solutions

Answer 1

B complex solutions with i

if the discriminant < 0 x = -b/2a + or - (1/2a)sqr(b^2 -4ac) = -b/2a + or - (1/2a)i(4ac-b^2)

the two solutions are conjugate pairs of imaginary numbers