5r^2+r+1=0

Question

Discriminate

Answer 1

I assume you mean "find the discriminant."  The discriminant is 

 

D = b² - 4ac = 1² - 4(5)(1) = 1 - 20 = -19

 

D < 0 ⇒ you will have 2 complex roots, where one is the complex conjugate of the other