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Simplifying x4 + -21x2 + 1024 = 0 Reorder the terms: 1024 + -21x2 + x4 = 0 Solving 1024 + -21x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-1024' to each side of the equation. 1024 + -21x2 + -1024 + x4 = 0 + -1024 Reorder the terms: 1024 + -1024 + -21x2 + x4 = 0 + -1024 Combine like terms: 1024 + -1024 = 0 0 + -21x2 + x4 = 0 + -1024 -21x2 + x4 = 0 + -1024 Combine like terms: 0 + -1024 = -1024 -21x2 + x4 = -1024 The x term is -21x2. Take half its coefficient (-10.5). Square it (110.25) and add it to both sides. Add '110.25' to each side of the equation. -21x2 + 110.25 + x4 = -1024 + 110.25 Reorder the terms: 110.25 + -21x2 + x4 = -1024 + 110.25 Combine like terms: -1024 + 110.25 = -913.75 110.25 + -21x2 + x4 = -913.75 Factor a perfect square on the left side: (x2 + -10.5)(x2 + -10.5) = -913.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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