SOLUTION: Solution set of √y-2=-4 is {} {-2} {-4,4} {18}

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Question 1132299: Solution set of √y-2=-4 is
{}
{-2}
{-4,4}
{18}
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Solution set of √y-2=-4 is
if you have:
sqrt%28y-2%29=-4
%28sqrt%28y-2%29%29%5E2=%28-4%29%5E2
y-2=16
y=16%2B2
y=18
=> A possible solution is :
{ y=18 }
Check that the solution is correct :
Original equation
sqrt%28y-2%29=-4
Plug in 18 for y
sqrt%2818-2%29=-4
Simplify
sqrt%2816%29=-4
Solution does not check
4+%3C%3E+-4+
so, no solutions exist and answer is:{}
if you have:
sqrt%28y%29-2=-4
sqrt%28y%29=-4%2B2
sqrt%28y%29=-2=>no solutions exist
=> answer:{}

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


You don't need to do any algebra to answer this question.

A square root is always 0 or positive.

This equation says the square root of an expression is negative; the solution set is the empty set.