Question

for the following equation, state the value of the discriminate and then describe the nature of the solutions. the equation is 19x^2 - 3x + 8 =0

Answer 1

For ax^2 +bx +c

discriminate is b^2 -4ac

a = 19
b = -3
c = 8

discriminate = (-3)^2 -4(19)(8)

Answer 2

discriminate = 0, 1 solution

discriminate > 0, 2 solutions

discriminate < 0, 0 real solutions (2 complex solutions)

Answer 3

-599?

Answer 4

complex as in imaginery

Answer 5

is complex and imaginary the same thing?

Answer 6

yes, its -599 and that means there are imaginary solutions

Basically the 2 solutions will have "i" in them because it involves taking sqrt of negative number