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Simplifying y2 + -13y + 52 = 0 Reorder the terms: 52 + -13y + y2 = 0 Solving 52 + -13y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-52' to each side of the equation. 52 + -13y + -52 + y2 = 0 + -52 Reorder the terms: 52 + -52 + -13y + y2 = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -13y + y2 = 0 + -52 -13y + y2 = 0 + -52 Combine like terms: 0 + -52 = -52 -13y + y2 = -52 The y term is -13y. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13y + 42.25 + y2 = -52 + 42.25 Reorder the terms: 42.25 + -13y + y2 = -52 + 42.25 Combine like terms: -52 + 42.25 = -9.75 42.25 + -13y + y2 = -9.75 Factor a perfect square on the left side: (y + -6.5)(y + -6.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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