SOLUTION: Solve for x and leave your answers in simplest ''a+bi'' form 2x^2-4x+7=0

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Question 803002: Solve for x and leave your answers in simplest ''a+bi'' form
2x^2-4x+7=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%282%29%287%29%29%29%2F%282%282%29%29 Plug in a+=+2, b+=+-4, c+=+7

x+=+%284%2B-sqrt%2816-%2856%29%29%29%2F%284%29

x+=+%284%2B-sqrt%28-40%29%29%2F4

x+=+%284%2Bsqrt%28-40%29%29%2F4 or x+=+%284-sqrt%28-40%29%29%2F4

x+=+%284%2B2i%2Asqrt%2810%29%29%2F4 or x+=+%284-2i%2Asqrt%2810%29%29%2F4

x+=+%282%2Bi%2Asqrt%2810%29%29%2F2 or x+=+%282-i%2Asqrt%2810%29%29%2F2

x+=+2%2F2%2B%28i%2Asqrt%2810%29%29%2F2 or x+=+2%2F2-%28i%2Asqrt%2810%29%29%2F2

x+=+1%2B%28sqrt%2810%29%2F2%29i or x+=+1-%28sqrt%2810%29%2F2%29i


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The two solutions are x+=+1%2B%28sqrt%2810%29%2F2%29i or x+=+1-%28sqrt%2810%29%2F2%29i