How do you factor x^2-5=0
Do you remember the special case of factoring the difference of 2 squares ?
x² - 5 = (x + √5) (x - √5)
That will be zero if either factor is zero.
x + √5 = 0
x = -√5
x - √5 = 0
x = √5
Another way to look at it is just to sit there and LOOK at it.
x² - 5 = 0
x² = 5
This is true if x = + or - √5 .