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Simplifying k2 + 8k + 17 = 0 Reorder the terms: 17 + 8k + k2 = 0 Solving 17 + 8k + k2 = 0 Solving for variable 'k'. Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + 8k + -17 + k2 = 0 + -17 Reorder the terms: 17 + -17 + 8k + k2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 8k + k2 = 0 + -17 8k + k2 = 0 + -17 Combine like terms: 0 + -17 = -17 8k + k2 = -17 The k term is 8k. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8k + 16 + k2 = -17 + 16 Reorder the terms: 16 + 8k + k2 = -17 + 16 Combine like terms: -17 + 16 = -1 16 + 8k + k2 = -1 Factor a perfect square on the left side: (k + 4)(k + 4) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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