Question

A discriminant of -17 indicates what types of roots?

Answer 1

remember the quadratic formula ?

Answer 2

Yes

Answer 3

\(\large x = \frac{-b \pm \sqrt{D}}{2a}\)

Answer 4

notice that the Descriminant is inside the sqrt sign

Answer 5

I see

Answer 6

sqrt(-17) gives an imaginary number

Answer 7

so, whenever the Descriminant is negative, the roots will be "complex"

Answer 8

and since "complex" roots come in pairs, you will have two distinct roots

Answer 9

So it's two complex

Answer 10

in summary, the roots are "complex" and "two different roots"

Answer 11

Yes !

Answer 12

Thank you !!

Answer 13

yw ^_^