find the general solution (D^2-4aD+3a^2)y=0 : a real not equal to 0

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Q: please explain step 2. Why is the current not just 12/ 9-j7  ? Thank you for your help

A: Solution is below

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Q: Find two positive numbers whose sum is 100 and whose product as largest as possible.

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Q: find two positive numbers whose sum is 300 and whose product is a max

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Q: Can you please help me solve this?

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