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Simplifying -5x4 + 13x2 + -9 = 0 Reorder the terms: -9 + 13x2 + -5x4 = 0 Solving -9 + 13x2 + -5x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.8 + -2.6x2 + x4 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + -2.6x2 + -1.8 + x4 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + -2.6x2 + x4 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -2.6x2 + x4 = 0 + -1.8 -2.6x2 + x4 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 -2.6x2 + x4 = -1.8 The x term is -2.6x2. Take half its coefficient (-1.3). Square it (1.69) and add it to both sides. Add '1.69' to each side of the equation. -2.6x2 + 1.69 + x4 = -1.8 + 1.69 Reorder the terms: 1.69 + -2.6x2 + x4 = -1.8 + 1.69 Combine like terms: -1.8 + 1.69 = -0.11 1.69 + -2.6x2 + x4 = -0.11 Factor a perfect square on the left side: (x2 + -1.3)(x2 + -1.3) = -0.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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