SOLUTION: Solve the following. (Leave the answer in radical form) x2 - 4x + 5 = 0

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Question 798450: Solve the following. (Leave the answer in radical form)
x2 - 4x + 5 = 0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
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%281%29%285%29%29%29%2F%282%281%29%29 Plug in a+=+1, b+=+-4, c+=+5

x+=+%284%2B-sqrt%2816-%2820%29%29%29%2F%282%29

x+=+%284%2B-sqrt%28-4%29%29%2F2

x+=+%284%2Bsqrt%28-4%29%29%2F2 or x+=+%284-sqrt%28-4%29%29%2F2

x+=+%284%2B2%2Ai%29%2F2 or x+=+%284-2%2Ai%29%2F2

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


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The two solutions are x+=+2%2Bi or x+=+2-i where i=sqrt%28-1%29