The solution to the quadratic equation by completing the square is:
x = 3 ± √-4
How to complete the square?
We are given the quadratic equation as:
8x² - 48x = -104
Divide through y 8 to get:
x² - 6x = -13
Add half of the square of the coefficient of x to both sides to get:
x² - 6x + (-6/2)² = -13 + (-6/2)²
x² - 6x + 9 = -13 + 9
Factoring the left gives:
(x - 3)² = -4
Take the square root of both sides too get:
x - 3 = √-4
x = 3 ± √-4