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Simplifying x4 + -100x2 + 4761 = 0 Reorder the terms: 4761 + -100x2 + x4 = 0 Solving 4761 + -100x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-4761' to each side of the equation. 4761 + -100x2 + -4761 + x4 = 0 + -4761 Reorder the terms: 4761 + -4761 + -100x2 + x4 = 0 + -4761 Combine like terms: 4761 + -4761 = 0 0 + -100x2 + x4 = 0 + -4761 -100x2 + x4 = 0 + -4761 Combine like terms: 0 + -4761 = -4761 -100x2 + x4 = -4761 The x term is -100x2. Take half its coefficient (-50). Square it (2500) and add it to both sides. Add '2500' to each side of the equation. -100x2 + 2500 + x4 = -4761 + 2500 Reorder the terms: 2500 + -100x2 + x4 = -4761 + 2500 Combine like terms: -4761 + 2500 = -2261 2500 + -100x2 + x4 = -2261 Factor a perfect square on the left side: (x2 + -50)(x2 + -50) = -2261 Can't calculate square root of the right side. The solution to this equation could not be determined.
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