What is the solution of the equation (x – 5)^2 + 3(x – 5) + 9 = 0? Use u substitution and the quadratic formula to solve. A) x=-3+3i√3/2 B) x=7+3i√3/2 C) x=2 D) x=8

Step-by-step explanation:

(x – 5)^2 + 3(x – 5) + 9 = 0

This is a quadratic equation in x - 5.

Let u = x - 5, then the quadratic equation becomes:

u^2 + 3u + 9 = 0

We can use the quadratic formula to solve for u.

Since u = x - 5, now we substitute x - 5 for u and solve for x.

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!