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Simplifying x4 + -9x2 + 48 = 0 Reorder the terms: 48 + -9x2 + x4 = 0 Solving 48 + -9x2 + 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 + -9x2 + -48 + x4 = 0 + -48 Reorder the terms: 48 + -48 + -9x2 + x4 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -9x2 + x4 = 0 + -48 -9x2 + x4 = 0 + -48 Combine like terms: 0 + -48 = -48 -9x2 + x4 = -48 The x term is -9x2. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x2 + 20.25 + x4 = -48 + 20.25 Reorder the terms: 20.25 + -9x2 + x4 = -48 + 20.25 Combine like terms: -48 + 20.25 = -27.75 20.25 + -9x2 + x4 = -27.75 Factor a perfect square on the left side: (x2 + -4.5)(x2 + -4.5) = -27.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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