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Simplifying 9x4 + -16x2 + 81 = 9 Reorder the terms: 81 + -16x2 + 9x4 = 9 Solving 81 + -16x2 + 9x4 = 9 Solving for variable 'x'. Reorder the terms: 81 + -9 + -16x2 + 9x4 = 9 + -9 Combine like terms: 81 + -9 = 72 72 + -16x2 + 9x4 = 9 + -9 Combine like terms: 9 + -9 = 0 72 + -16x2 + 9x4 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 8 + -1.777777778x2 + x4 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -1.777777778x2 + -8 + x4 = 0 + -8 Reorder the terms: 8 + -8 + -1.777777778x2 + x4 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1.777777778x2 + x4 = 0 + -8 -1.777777778x2 + x4 = 0 + -8 Combine like terms: 0 + -8 = -8 -1.777777778x2 + x4 = -8 The x term is -1.777777778x2. Take half its coefficient (-0.888888889). Square it (0.7901234570) and add it to both sides. Add '0.7901234570' to each side of the equation. -1.777777778x2 + 0.7901234570 + x4 = -8 + 0.7901234570 Reorder the terms: 0.7901234570 + -1.777777778x2 + x4 = -8 + 0.7901234570 Combine like terms: -8 + 0.7901234570 = -7.209876543 0.7901234570 + -1.777777778x2 + x4 = -7.209876543 Factor a perfect square on the left side: (x2 + -0.888888889)(x2 + -0.888888889) = -7.209876543 Can't calculate square root of the right side. The solution to this equation could not be determined.
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