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Simplifying 2y4 + -18y2 + 81 = 0 Reorder the terms: 81 + -18y2 + 2y4 = 0 Solving 81 + -18y2 + 2y4 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 40.5 + -9y2 + y4 = 0 Move the constant term to the right: Add '-40.5' to each side of the equation. 40.5 + -9y2 + -40.5 + y4 = 0 + -40.5 Reorder the terms: 40.5 + -40.5 + -9y2 + y4 = 0 + -40.5 Combine like terms: 40.5 + -40.5 = 0.0 0.0 + -9y2 + y4 = 0 + -40.5 -9y2 + y4 = 0 + -40.5 Combine like terms: 0 + -40.5 = -40.5 -9y2 + y4 = -40.5 The y term is -9y2. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9y2 + 20.25 + y4 = -40.5 + 20.25 Reorder the terms: 20.25 + -9y2 + y4 = -40.5 + 20.25 Combine like terms: -40.5 + 20.25 = -20.25 20.25 + -9y2 + y4 = -20.25 Factor a perfect square on the left side: (y2 + -4.5)(y2 + -4.5) = -20.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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