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Simplifying y4 + 5y2 + 9 = 0 Reorder the terms: 9 + 5y2 + y4 = 0 Solving 9 + 5y2 + y4 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + 5y2 + -9 + y4 = 0 + -9 Reorder the terms: 9 + -9 + 5y2 + y4 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5y2 + y4 = 0 + -9 5y2 + y4 = 0 + -9 Combine like terms: 0 + -9 = -9 5y2 + y4 = -9 The y term is 5y2. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5y2 + 6.25 + y4 = -9 + 6.25 Reorder the terms: 6.25 + 5y2 + y4 = -9 + 6.25 Combine like terms: -9 + 6.25 = -2.75 6.25 + 5y2 + y4 = -2.75 Factor a perfect square on the left side: (y2 + 2.5)(y2 + 2.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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