Discriminant: Determine the value of K in given conditions

Question

1.) 5x² - 6x + k

a) Real And Equal (1 root)

b) Real And Unequal (2 roots)

c) Imaginary (no real roots)

Answer 1

Real and unequal: k<9/5

Real and equal (one root of multiplicity 2): k= 9/5

Complex: k>9/5