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Simplifying a4 + a2y2 + y4 = 0 Reorder the terms: a2y2 + a4 + y4 = 0 Solving a2y2 + a4 + y4 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-1y4' to each side of the equation. a2y2 + a4 + y4 + -1y4 = 0 + -1y4 Combine like terms: y4 + -1y4 = 0 a2y2 + a4 + 0 = 0 + -1y4 a2y2 + a4 = 0 + -1y4 Remove the zero: a2y2 + a4 = -1y4 The a term is a2y2. Take half its coefficient (0.5y2). Square it (0.25y4) and add it to both sides. Add '0.25y4' to each side of the equation. a2y2 + a4 + 0.25y4 = -1y4 + 0.25y4 Combine like terms: -1y4 + 0.25y4 = -0.75y4 a2y2 + a4 + 0.25y4 = -0.75y4 Factor a perfect square on the left side: (a2 + 0.5y2)(a2 + 0.5y2) = -0.75y4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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