Use the discriminant to describe the roots of each equation. then select the best description. x2 - 6x + 12 = 0 double root real and rational root real and irrational root imaginary root

  imaginary roots

Step-by-step explanation:

For a quadratic in the form ...

the discriminant is ...

You have a=1, b=-6, c=12, so the discriminant is ...

  d = (-6)² -4(1)(12) = 36 -48 = -12

When the discriminant is negative, both roots are complex. When the discriminant is not a perfect square, both roots are irrational. Here, the discriminant is negative and not a perfect square, so the roots are complex with an irrational imaginary part.

The best single descriptor is imaginary root.

_____

The roots are (-b±√d)/(2a) = (6 ± 2i√3)/2 = 3 ± i√3. These roots have a rational real part and an irrational imaginary part. When the number with an imaginary part has a non-zero real part, it is called "complex", rather than "imaginary."

y -5 = (-1/4)(x + 8)

step-by-step explanation:

there are 25 people coming to the party

step-by-step explanation:

the text says that there will be 22 children at this party, 1 teacher, and 2 parents. so if you add them all together (22+1+2) it will equal 25. (=25)