SOLUTION: show that 3-4i is a square root of 7-24i then find the other square root

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Question 460576: show that 3-4i is a square root of 7-24i then find the other square root
Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
%283-4i%29%5E2+=+9+%2B+16i%5E2+-+24i+=+9+-+16+-+24i
= -7 - 24i
It's not a square root.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




does indeed equal



Hence, is NOT a square root of

Use the formula:





The only thing left is a little arithmetic.

John

My calculator said it, I believe it, that settles it
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