How do you solve # [sqrt(4 - x)] - [sqrt(x + 6)] = 2# and find any extraneous solutions?
2 Answers
Since the arguments of square roots may not be negative, we already know that
Explanation:
Or:
And now for the difference of
It may be clear that
We try whole values, and
graph{sqrt(4-x)-sqrt(x+6) [-11.25, 11.25, -5.625, 5.625]}
Explanation:
square both sides
square both sides