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Simplifying y4 + 2y2 + 9 = 0 Reorder the terms: 9 + 2y2 + y4 = 0 Solving 9 + 2y2 + 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 + 2y2 + -9 + y4 = 0 + -9 Reorder the terms: 9 + -9 + 2y2 + y4 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2y2 + y4 = 0 + -9 2y2 + y4 = 0 + -9 Combine like terms: 0 + -9 = -9 2y2 + y4 = -9 The y term is 2y2. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2y2 + 1 + y4 = -9 + 1 Reorder the terms: 1 + 2y2 + y4 = -9 + 1 Combine like terms: -9 + 1 = -8 1 + 2y2 + y4 = -8 Factor a perfect square on the left side: (y2 + 1)(y2 + 1) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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