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Simplifying n2 + -8n + 17 = 0 Reorder the terms: 17 + -8n + n2 = 0 Solving 17 + -8n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + -8n + -17 + n2 = 0 + -17 Reorder the terms: 17 + -17 + -8n + n2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -8n + n2 = 0 + -17 -8n + n2 = 0 + -17 Combine like terms: 0 + -17 = -17 -8n + n2 = -17 The n term is -8n. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8n + 16 + n2 = -17 + 16 Reorder the terms: 16 + -8n + n2 = -17 + 16 Combine like terms: -17 + 16 = -1 16 + -8n + n2 = -1 Factor a perfect square on the left side: (n + -4)(n + -4) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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