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Simplifying 16x4 + 40x2 + 169 = 0 Reorder the terms: 169 + 40x2 + 16x4 = 0 Solving 169 + 40x2 + 16x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 10.5625 + 2.5x2 + x4 = 0 Move the constant term to the right: Add '-10.5625' to each side of the equation. 10.5625 + 2.5x2 + -10.5625 + x4 = 0 + -10.5625 Reorder the terms: 10.5625 + -10.5625 + 2.5x2 + x4 = 0 + -10.5625 Combine like terms: 10.5625 + -10.5625 = 0.0000 0.0000 + 2.5x2 + x4 = 0 + -10.5625 2.5x2 + x4 = 0 + -10.5625 Combine like terms: 0 + -10.5625 = -10.5625 2.5x2 + x4 = -10.5625 The x term is 2.5x2. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x2 + 1.5625 + x4 = -10.5625 + 1.5625 Reorder the terms: 1.5625 + 2.5x2 + x4 = -10.5625 + 1.5625 Combine like terms: -10.5625 + 1.5625 = -9 1.5625 + 2.5x2 + x4 = -9 Factor a perfect square on the left side: (x2 + 1.25)(x2 + 1.25) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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