SOLUTION: Solve for the variable: (square root of)(2x + 1) = -1 a) 0 b) 1 c) -1 d) -2 e) none of these

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Question 64286: Solve for the variable: (square root of)(2x + 1) = -1
a) 0
b) 1
c) -1
d) -2
e) none of these
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for the variable: (square root of)(2x + 1) = -1
a) 0
b) 1
c) -1
d) -2
highlight%28e%29 none of these
You can't take the square root of anything and get a negative number, so you can look at this and know that this has no solution, however, if you didn't notice that, you would try to solve it this way.
%28sqrt%282x%2B1%29%29%5E2=%28-1%29%5E2
2x%2B1=1
2x%2B1-1=1-1
2x=0
2x%2F2=0%2F2
x=0
But when you check x=0, you will find that it's extraneous.
sqrt%282%280%29%2B1%29=-1
sqrt%280%2B1%29=-1
sqrt%281%29=-1
1=-1 Not true, so 0 is extraneous and there is no solution.
Happy Calculating!!!