SOLUTION: 2x^2+3=2x find solution of the equation and express them in the form a+bi (^2 is square root) Can you use the quadratic equation?

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Question 10629: 2x^2+3=2x find solution of the equation and express them in the form a+bi
(^2 is square root)
Can you use the quadratic equation?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
I expect that you meant to write...(^2 is square) rather than...(^2 is square root). This would make more sense so I'll proceed on that basis. Rewrite the equation into standard form.
2x%5E2+-+2x+%2B+3+=+0 Use the quadratic formula: x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a
x+=+%28-%28-2%29%2B-sqrt%28%28-2%29%5E2-4%2A2%2A3%29%29%2F%282%2A2%29
x+=+%282%2B-sqrt%284-24%29%29%2F4
x+=+%282%2F4%29%2B-sqrt%28-20%29%2F4
x+=+%281%2F2%29+%2B-+sqrt%28-4%2A5%29%2F4
x+=+%281%2F2%29+%2B-+%282%2F4%29sqrt%28-5%29
x+=+%281%2F2%29+%2B-+%281%2F2%29sqrt%285%29i
x+=+%281%2F2%29%281%2Bsqrt%285%29i%29 or x+=+%281%2F2%29%281+-+sqrt%285%29i%29