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Simplifying x4 + -4x2 + 49 = 0 Reorder the terms: 49 + -4x2 + x4 = 0 Solving 49 + -4x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-49' to each side of the equation. 49 + -4x2 + -49 + x4 = 0 + -49 Reorder the terms: 49 + -49 + -4x2 + x4 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -4x2 + x4 = 0 + -49 -4x2 + x4 = 0 + -49 Combine like terms: 0 + -49 = -49 -4x2 + x4 = -49 The x term is -4x2. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x2 + 4 + x4 = -49 + 4 Reorder the terms: 4 + -4x2 + x4 = -49 + 4 Combine like terms: -49 + 4 = -45 4 + -4x2 + x4 = -45 Factor a perfect square on the left side: (x2 + -2)(x2 + -2) = -45 Can't calculate square root of the right side. The solution to this equation could not be determined.
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