Question 234288
Find all real and imaginary solutions 
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Factors of a^2+b^2 are (a+bi) and (a-bi)
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Your problem:
w^2 = -225
w^2+225 = 0
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w^2+15^2 = 0
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(w+15i)(w-15i) = 0
w = -15i or w = +15i
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Cheers,
Stan H.