Question

is 2 √x+5+7=4 extraneous?
will give medal

Answer 1

\[\large\rm 2\sqrt{x+5}+7=4\]For these types of problems,
try to solve for the square root.

Answer 2

Subtracting 7 from each side,\[\large\rm 2\sqrt{x+5}=-3\]Dividing by 2,\[\large\rm \sqrt{x+5}=-\frac32\]

Answer 3

Square root operation should always produce a `positive number`.
There is no value that when we take the root of it, gives us a -3/2.

Answer 4

so is it?