SOLUTION: w^2=-2

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Question 296805: w^2=-2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
w%5E2=-2 Start with the given equation.


w=%22%22%2B-sqrt%28-2%29 Take the square root of both sides.


w=sqrt%28-2%29 or w=-sqrt%28-2%29 Break up the "plus/minus" to form two equations.


w=i%2Asqrt%282%29 or w=-i%2Asqrt%282%29 Simplify the square root.


So the solutions are w=i%2Asqrt%282%29 or w=-i%2Asqrt%282%29