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Simplifying 4x4 + 81 = 3x2 Reorder the terms: 81 + 4x4 = 3x2 Solving 81 + 4x4 = 3x2 Solving for variable 'x'. Reorder the terms: 81 + -3x2 + 4x4 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 81 + -3x2 + 4x4 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 20.25 + -0.75x2 + x4 = 0 Move the constant term to the right: Add '-20.25' to each side of the equation. 20.25 + -0.75x2 + -20.25 + x4 = 0 + -20.25 Reorder the terms: 20.25 + -20.25 + -0.75x2 + x4 = 0 + -20.25 Combine like terms: 20.25 + -20.25 = 0.00 0.00 + -0.75x2 + x4 = 0 + -20.25 -0.75x2 + x4 = 0 + -20.25 Combine like terms: 0 + -20.25 = -20.25 -0.75x2 + x4 = -20.25 The x term is -0.75x2. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x2 + 0.140625 + x4 = -20.25 + 0.140625 Reorder the terms: 0.140625 + -0.75x2 + x4 = -20.25 + 0.140625 Combine like terms: -20.25 + 0.140625 = -20.109375 0.140625 + -0.75x2 + x4 = -20.109375 Factor a perfect square on the left side: (x2 + -0.375)(x2 + -0.375) = -20.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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