Determine the solution set of x² - 80 = 0.

Solution:

The given equation is

x² - 80 = 0

x² = 80

x² = 16 × 5

x = ± √16 × 5

x = ± 4(√5)

Another similar example can be to determine the solution set of x² - 128 = 0

x² - 128 = 0

x² =128

x² = 64 × 2

x = ± √64 × 5

x = ± 8(√2)

Determine the solution set of x² - 80 = 0.

Summary:

The solution set of x² - 80 = 0 is x = ± 4(√5)