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Simplifying x4 + -100(x2) + 10000 = 0 Reorder the terms: 10000 + -100x2 + x4 = 0 Solving 10000 + -100x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-10000' to each side of the equation. 10000 + -100x2 + -10000 + x4 = 0 + -10000 Reorder the terms: 10000 + -10000 + -100x2 + x4 = 0 + -10000 Combine like terms: 10000 + -10000 = 0 0 + -100x2 + x4 = 0 + -10000 -100x2 + x4 = 0 + -10000 Combine like terms: 0 + -10000 = -10000 -100x2 + x4 = -10000 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 = -10000 + 2500 Reorder the terms: 2500 + -100x2 + x4 = -10000 + 2500 Combine like terms: -10000 + 2500 = -7500 2500 + -100x2 + x4 = -7500 Factor a perfect square on the left side: (x2 + -50)(x2 + -50) = -7500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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