Question

Write your answer in the simplest radical form

Answer 1

6±2√3

Explanation:

We can use the quadratic equation to solve x²-12x+24=0. The special quadratic formula (used when the x term has an even coeffcient, in this case it does) is (-b'±√(b'²-ac))/a where in this case a=1, b= -6, and c=24.

Plugging these in, we get {-(-6)^2±√[(-6)²-1*24]}/1. When we simplify, we get 6±√(36-24) → 6±√12 → 6±2√3. Hope this helps!