Question

Nich

2. What quantity should be added to both sides of
this equation to complete the square?
x² - 8x = 5

Answer 1

`16`

Explanation:

`~~~~~~x^2 -8x = 5 \\\\\implies x^2 -2\cdot 4 \cdot x+ 4^2 = 5+ 4^2~~~~~~~~~~~~;[\text{Add}~ 4^2 = 16 ~ \text{to both sides }]\\\\\implies (x-4)^2 = 21`