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Simplifying u2 + 4u + 17 = 0 Reorder the terms: 17 + 4u + u2 = 0 Solving 17 + 4u + u2 = 0 Solving for variable 'u'. Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + 4u + -17 + u2 = 0 + -17 Reorder the terms: 17 + -17 + 4u + u2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 4u + u2 = 0 + -17 4u + u2 = 0 + -17 Combine like terms: 0 + -17 = -17 4u + u2 = -17 The u term is 4u. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4u + 4 + u2 = -17 + 4 Reorder the terms: 4 + 4u + u2 = -17 + 4 Combine like terms: -17 + 4 = -13 4 + 4u + u2 = -13 Factor a perfect square on the left side: (u + 2)(u + 2) = -13 Can't calculate square root of the right side. The solution to this equation could not be determined.
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