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Simplifying 9x4 + -3x2 + 1 = 0 Reorder the terms: 1 + -3x2 + 9x4 = 0 Solving 1 + -3x2 + 9x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.1111111111 + -0.3333333333x2 + x4 = 0 Move the constant term to the right: Add '-0.1111111111' to each side of the equation. 0.1111111111 + -0.3333333333x2 + -0.1111111111 + x4 = 0 + -0.1111111111 Reorder the terms: 0.1111111111 + -0.1111111111 + -0.3333333333x2 + x4 = 0 + -0.1111111111 Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000 0.0000000000 + -0.3333333333x2 + x4 = 0 + -0.1111111111 -0.3333333333x2 + x4 = 0 + -0.1111111111 Combine like terms: 0 + -0.1111111111 = -0.1111111111 -0.3333333333x2 + x4 = -0.1111111111 The x term is -0.3333333333x2. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333x2 + 0.02777777779 + x4 = -0.1111111111 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x2 + x4 = -0.1111111111 + 0.02777777779 Combine like terms: -0.1111111111 + 0.02777777779 = -0.08333333331 0.02777777779 + -0.3333333333x2 + x4 = -0.08333333331 Factor a perfect square on the left side: (x2 + -0.1666666667)(x2 + -0.1666666667) = -0.08333333331 Can't calculate square root of the right side. The solution to this equation could not be determined.
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