Question

What are the roots of the equation 9x2 – 36x +37
O in simplest a + bí form?

Answer 1

x = 2+1/3i or 2-1/3i

Explanation:

The equation of interest can be written in vertex form as ...

9(x -2)² +1 = 0

so its solutions can be found by subtracting 1, dividing by 9, taking the square root, then adding 2.

x = 2 ± √(-1/9)

In the desired form, the zeros of the given expression are ...

x = 2 +1/3i or 2 -1/3i