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Simplifying x4 + -20x2 + 500 = 0 Reorder the terms: 500 + -20x2 + x4 = 0 Solving 500 + -20x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-500' to each side of the equation. 500 + -20x2 + -500 + x4 = 0 + -500 Reorder the terms: 500 + -500 + -20x2 + x4 = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -20x2 + x4 = 0 + -500 -20x2 + x4 = 0 + -500 Combine like terms: 0 + -500 = -500 -20x2 + x4 = -500 The x term is -20x2. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x2 + 100 + x4 = -500 + 100 Reorder the terms: 100 + -20x2 + x4 = -500 + 100 Combine like terms: -500 + 100 = -400 100 + -20x2 + x4 = -400 Factor a perfect square on the left side: (x2 + -10)(x2 + -10) = -400 Can't calculate square root of the right side. The solution to this equation could not be determined.
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