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Simplifying x4 + -10x2 + 169 = 0 Reorder the terms: 169 + -10x2 + x4 = 0 Solving 169 + -10x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-169' to each side of the equation. 169 + -10x2 + -169 + x4 = 0 + -169 Reorder the terms: 169 + -169 + -10x2 + x4 = 0 + -169 Combine like terms: 169 + -169 = 0 0 + -10x2 + x4 = 0 + -169 -10x2 + x4 = 0 + -169 Combine like terms: 0 + -169 = -169 -10x2 + x4 = -169 The x term is -10x2. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x2 + 25 + x4 = -169 + 25 Reorder the terms: 25 + -10x2 + x4 = -169 + 25 Combine like terms: -169 + 25 = -144 25 + -10x2 + x4 = -144 Factor a perfect square on the left side: (x2 + -5)(x2 + -5) = -144 Can't calculate square root of the right side. The solution to this equation could not be determined.
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