SOLUTION: solve the equation x^2-7=4x^2+5

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Question 68421: solve the equation x^2-7=4x^2+5
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
solve the equation x%5E2-7=4x%5E2%2B5



1. Simplify the equation.Combine like terms
+%28-7+-+5%29+=+4x%5E2+-+x%5E2


+%28-12%29+=+3x%5E2



2. Divide both sides by 3.
+%28-12%29%281%2F3%29+=+3x%5E2%281%2F3%29


+%28-4%29+=+x%5E2



3. extract square root both sides
+sqrt%28-4%29+=+sqrt%28x%5E2%29


+sqrt%28-4%29+=+x



sqrt+%28%28-1%29%284%29%29+=+x

Note: sqrt+%28-1%29+=+i%29 and sqrt+%284%29+=+2


+4i+=+x