# SOLUTION: can someone tell me how to answer this question? please A student claims that the equation -x = 3 has no solution, since the square root of a negative number does not exist.

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Misc -> SOLUTION: can someone tell me how to answer this question? please A student claims that the equation -x = 3 has no solution, since the square root of a negative number does not exist.      Log On

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 Click here to see ALL problems on Miscellaneous Word Problems Question 187679: can someone tell me how to answer this question? please A student claims that the equation -x = 3 has no solution, since the square root of a negative number does not exist. Why is this argument wrong? Answer by stanbon(57211)   (Show Source): You can put this solution on YOUR website!A student claims that the equation sart(-x) = 3 has no solution, since the square root of a negative number does not exist. Why is this argument wrong? --------------- -x is a negative number only when x is positive ------ The solution could be a negative number or zero. ---------- Equation: sqrt(-x) = 3 --- Square both sides to get: -x = 9 x = -9 ------------- Is that a solution? Check it: --- sqrt(-(-9)) = 3 sqrt(9) = 3 That works. ==================== Cheers, Stan H.