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

asked Nov 21, 2014 in PRECALCULUS by anonymous

1 Answer

0 votes

The equation is  

image

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

Squaring on both sides 

image

4 -x = 100

x = 4 -100

x = - 96.

Check :

image

- 14  is not equal to 6

Hence x = - 96 is not a solution .

So, there is no solution for the equation .

answered Nov 21, 2014 by saurav Pupil

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