math helppp !!15

Question

what are the restrictions on x, if the solution to the equation - 4 - √ 4-x=6 involved real numbers

Answer 1

The equation is  

The domain of (4 - x) is x < 4 ,for the solution to be real .

Squaring on both sides 

4 -x = 100

x = 4 -100

x = - 96.

Check :

- 14  is not equal to 6

Hence x = - 96 is not a solution .

So, there is no solution for the equation .