Worked solution
Keep both radical endpoints strict in self-practice
Self-Practice 3: solve .
CJC · Lecture · Self-Practice 3
Use the real domain and check x=0
The real domain is x≥0, but x=0 gives 0>0 and is excluded. For x>0 both sides are positive, so squaring is equivalent: x>4 x², or x(1−4 x)>0. Hence 0<x<1/4, agreeing with the printed answer. The upper endpoint gives equality and is excluded.
How did this part go?
Common mistakes
Do not include x=0 simply because it belongs to the square-root domain.