Question

Barry is solving the equation 3x2 - 7x + 12 = 0 using the quadratic formula. He notices that, under the radical, the expression b2 - 4ac will be negative. This indicates that the equation has
A) 2 irrational solutions
B) 2 imaginary solutions
C) 2 rational solutions
D) no solutions

Answer 1

Two imaginary solutions...

(b^2-4ac) is called the discriminant of the quadratic equation...

if d<0, there are no real solutions (but there are two imaginary solutions)

if d=0, there is one real solution

if d>0, there are two real solutions.

Answer 2

B, Imaginary solutions