Answer:
x = 8 ± 2i
Step-by-step explanation:
Given
x² - 16x + 60 = - 12 ( subtract 60 from both sides )
x² - 16x = - 72
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 8)x + 64 = - 72 + 64, thus
(x - 8)² = - 8 ( take the square root of both sides )
x - 8 = ±
= ± 2i
( add 8 to both sides )
x = 8 ± 2i
Use a half-angle identity to find the exact value of sin pi/8
*only p*
because there are no two digits the same in the x and y values
The question is an illustration of angles on a straight line
The value of x is 25.4
<h3>How to determine the value of x</h3>
In the figure, angles 1 and 2 are angles on a straight line
Where:
- Angle 1 = 4x - 8
- Angle 2 = 3x + 10
So, we have:

Collect like terms


Divide through by 7

Hence, the value of x is 25.4
Read more about angles at:
brainly.com/question/12054594