SOLUTION: why can't different quadratic equations have the same solution?

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Question 322870: why can't different quadratic equations have the same solution?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!



Different quadratic equations CAN indeed have the same solutions!
x%5E2%2Bx-2=0 and 2x%5E2%2B2x-4=0 have the same solution.
namely 1 and -2.
However you can get the second quadratic equation by multiplying
the first one through by 2.
Edwin