A rectangular circuit board is designed to have width w inches, perimeter p inches, and area k square Inches. Which of the following equations must be true?
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A{w}^{2}+pw+k=0
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B{w}^{2}-pw-2k=0
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C{2}{w}^{2}+pw+2k=0
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D{2}{w}^{2}-pw-2k=0
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E{2}{w}^{2}-pw+2k=0
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正确答案: E