Answer :
Answer:
The roots of the polynomial are;
3 + 2i
and 3-2i
Step-by-step explanation:
Here, we want to solve the given polynomial using the completing the square method
We start by dividing through by 8
This will give;
x^2 - 6x = -13
To complete the square, we simply divide the coefficient of x by 2 and square it
We have this as -6/2 = -3
square it;; = (-3)^2 = 9
Add it to both sides
x^2 - 6x + 9 = -13 + 9
x^2 - 6x + 9 = -4
(x-3)^2 = -4
Find the square root of both sides
x-3 = ±2i
x = 3 + 2i
or x = 3-2i
Answer:
Here's just the answers without all the work for easier reading. Answers are bolded.
Step-by-step explanation:
First problem answer: x2 + -6 x = -13
Second problem answer: x2 – 6x + 9 = –13 + 9
Third problem answer: (x + -3)² = -4
Fourth problem answer: 3 + 2i