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Simplifying x4 + -1(2.9) * x2 + (8.5) = 0 Multiply -1 * 2.9 x4 + -2.9x2 + (8.5) = 0 x4 + -2.9x2 + 8.5 = 0 Reorder the terms: 8.5 + -2.9x2 + x4 = 0 Solving 8.5 + -2.9x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-8.5' to each side of the equation. 8.5 + -2.9x2 + -8.5 + x4 = 0 + -8.5 Reorder the terms: 8.5 + -8.5 + -2.9x2 + x4 = 0 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + -2.9x2 + x4 = 0 + -8.5 -2.9x2 + x4 = 0 + -8.5 Combine like terms: 0 + -8.5 = -8.5 -2.9x2 + x4 = -8.5 The x term is -2.9x2. Take half its coefficient (-1.45). Square it (2.1025) and add it to both sides. Add '2.1025' to each side of the equation. -2.9x2 + 2.1025 + x4 = -8.5 + 2.1025 Reorder the terms: 2.1025 + -2.9x2 + x4 = -8.5 + 2.1025 Combine like terms: -8.5 + 2.1025 = -6.3975 2.1025 + -2.9x2 + x4 = -6.3975 Factor a perfect square on the left side: (x2 + -1.45)(x2 + -1.45) = -6.3975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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