Answer:
x = -5, 5
Explanations:
The given equation is:
x² - 25 = 0
This can be written as:
x² - 5² = 0
This is the difference of two squares which generally is solved by applying the simplification method:
a² - b² = (a - b) (a + b)
Therefore,
x² - 5² = 0 will become:
(x - 5) (x + 5) = 0
x - 5 = 0..............(i)
x = 5
x + 5 = 0.............(ii)
x = - 5
The solutions are x = -5, 5
