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Simplifying x4 + -10x2 + 48 = 0 Reorder the terms: 48 + -10x2 + x4 = 0 Solving 48 + -10x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-48' to each side of the equation. 48 + -10x2 + -48 + x4 = 0 + -48 Reorder the terms: 48 + -48 + -10x2 + x4 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -10x2 + x4 = 0 + -48 -10x2 + x4 = 0 + -48 Combine like terms: 0 + -48 = -48 -10x2 + x4 = -48 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 = -48 + 25 Reorder the terms: 25 + -10x2 + x4 = -48 + 25 Combine like terms: -48 + 25 = -23 25 + -10x2 + x4 = -23 Factor a perfect square on the left side: (x2 + -5)(x2 + -5) = -23 Can't calculate square root of the right side. The solution to this equation could not be determined.
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