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Simplifying x4 + -49x2 + 2401 = 0 Reorder the terms: 2401 + -49x2 + x4 = 0 Solving 2401 + -49x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-2401' to each side of the equation. 2401 + -49x2 + -2401 + x4 = 0 + -2401 Reorder the terms: 2401 + -2401 + -49x2 + x4 = 0 + -2401 Combine like terms: 2401 + -2401 = 0 0 + -49x2 + x4 = 0 + -2401 -49x2 + x4 = 0 + -2401 Combine like terms: 0 + -2401 = -2401 -49x2 + x4 = -2401 The x term is -49x2. Take half its coefficient (-24.5). Square it (600.25) and add it to both sides. Add '600.25' to each side of the equation. -49x2 + 600.25 + x4 = -2401 + 600.25 Reorder the terms: 600.25 + -49x2 + x4 = -2401 + 600.25 Combine like terms: -2401 + 600.25 = -1800.75 600.25 + -49x2 + x4 = -1800.75 Factor a perfect square on the left side: (x2 + -24.5)(x2 + -24.5) = -1800.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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