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Simplifying 1.414213562x2 + -1x + 1.414213562 = 0 Reorder the terms: 1.414213562 + -1x + 1.414213562x2 = 0 Solving 1.414213562 + -1x + 1.414213562x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 1.414213562 the coefficient of the squared term: Divide each side by '1.414213562'. 1 + -0.7071067814x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.7071067814x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.7071067814x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.7071067814x + x2 = 0 + -1 -0.7071067814x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.7071067814x + x2 = -1 The x term is -0.7071067814x. Take half its coefficient (-0.3535533907). Square it (0.1250000001) and add it to both sides. Add '0.1250000001' to each side of the equation. -0.7071067814x + 0.1250000001 + x2 = -1 + 0.1250000001 Reorder the terms: 0.1250000001 + -0.7071067814x + x2 = -1 + 0.1250000001 Combine like terms: -1 + 0.1250000001 = -0.8749999999 0.1250000001 + -0.7071067814x + x2 = -0.8749999999 Factor a perfect square on the left side: (x + -0.3535533907)(x + -0.3535533907) = -0.8749999999 Can't calculate square root of the right side. The solution to this equation could not be determined.
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