SOLUTION: list the non real solutions of the equstion 2x^2-4x+4

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Question 672826: list the non real solutions of the equstion 2x^2-4x+4

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
In the case of 2x%5E2-4x%2B4, it is in the form ax%5E2%2Bbx%2Bc, so a+=+2, b+=+-4, c+=+4

Use the quadratic formula to solve for x

x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29

x+=+%28-%28-4%29%2B-sqrt%28%28-4%29%5E2-4%282%29%284%29%29%29%2F%282%282%29%29 Plug in a+=+2, b+=+-4, c+=+4

x+=+%284%2B-sqrt%2816-%2832%29%29%29%2F%284%29

x+=+%284%2B-sqrt%28-16%29%29%2F4

x+=+%284%2Bsqrt%28-16%29%29%2F4 or x+=+%284-sqrt%28-16%29%29%2F4

x+=+%284%2B4%2Ai%29%2F4 or x+=+%284-4%2Ai%29%2F4

x+=+%284%281%2Bi%29%29%2F4 or x+=+%284%281-i%29%29%2F4

x+=+1%2Bi or x+=+1-i

So the two nonreal (or complex) solutions are x+=+1%2Bi or x+=+1-i