Question

Use the discriminant to describe the roots of each equation. Then select the best description. x2 - 6x + 9 = 0 double root real and rational root real and irrational root imaginary root

Answer 1

ax^2 + bx+c =0

discriminant b^2-4ac

(-6)^2 - 4(1) *(9)

36-36 = 0

if the discriminant >0  it has 2 real roots

                              = 0  it has 1 root of multiplicity 2

                             < 0 has 2 imaginary root

x^2 - 6x + 9 = 0

(x-3)(x-3)=0

root is 3 multiplicity 2

Answer : double root real and rational