SOLUTION: Could you explain step by step how to solve this using the quadratic formula (1/4)x^2+17/4=2x

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Question 382093: Could you explain step by step how to solve this using the quadratic formula
(1/4)x^2+17/4=2x
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
First, move everything to one side:
%281%2F4%29x%5E2+-+2x+%2B+17%2F4+=+0
I'll multiply both sides by 4 to eliminate the fractions:
x%5E2+-+8x+%2B+17+=+0
From the quadratic formula, we obtain
x+=+%288+%2B-+sqrt%2864+-+68%29%29%2F2+=+%288+%2B-+2i%29%2F%282%29+=+4+%2B-+i