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Simplifying 4y4 + -25y2 + 144 = 0 Reorder the terms: 144 + -25y2 + 4y4 = 0 Solving 144 + -25y2 + 4y4 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 36 + -6.25y2 + y4 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + -6.25y2 + -36 + y4 = 0 + -36 Reorder the terms: 36 + -36 + -6.25y2 + y4 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -6.25y2 + y4 = 0 + -36 -6.25y2 + y4 = 0 + -36 Combine like terms: 0 + -36 = -36 -6.25y2 + y4 = -36 The y term is -6.25y2. Take half its coefficient (-3.125). Square it (9.765625) and add it to both sides. Add '9.765625' to each side of the equation. -6.25y2 + 9.765625 + y4 = -36 + 9.765625 Reorder the terms: 9.765625 + -6.25y2 + y4 = -36 + 9.765625 Combine like terms: -36 + 9.765625 = -26.234375 9.765625 + -6.25y2 + y4 = -26.234375 Factor a perfect square on the left side: (y2 + -3.125)(y2 + -3.125) = -26.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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