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Simplifying y4 + -6y2 + 14 = 0 Reorder the terms: 14 + -6y2 + y4 = 0 Solving 14 + -6y2 + y4 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -6y2 + -14 + y4 = 0 + -14 Reorder the terms: 14 + -14 + -6y2 + y4 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -6y2 + y4 = 0 + -14 -6y2 + y4 = 0 + -14 Combine like terms: 0 + -14 = -14 -6y2 + y4 = -14 The y term is -6y2. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6y2 + 9 + y4 = -14 + 9 Reorder the terms: 9 + -6y2 + y4 = -14 + 9 Combine like terms: -14 + 9 = -5 9 + -6y2 + y4 = -5 Factor a perfect square on the left side: (y2 + -3)(y2 + -3) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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