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Simplifying 9t4 + -20t2 + 16 = 0 Reorder the terms: 16 + -20t2 + 9t4 = 0 Solving 16 + -20t2 + 9t4 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.777777778 + -2.222222222t2 + t4 = 0 Move the constant term to the right: Add '-1.777777778' to each side of the equation. 1.777777778 + -2.222222222t2 + -1.777777778 + t4 = 0 + -1.777777778 Reorder the terms: 1.777777778 + -1.777777778 + -2.222222222t2 + t4 = 0 + -1.777777778 Combine like terms: 1.777777778 + -1.777777778 = 0.000000000 0.000000000 + -2.222222222t2 + t4 = 0 + -1.777777778 -2.222222222t2 + t4 = 0 + -1.777777778 Combine like terms: 0 + -1.777777778 = -1.777777778 -2.222222222t2 + t4 = -1.777777778 The t term is -2.222222222t2. Take half its coefficient (-1.111111111). Square it (1.234567901) and add it to both sides. Add '1.234567901' to each side of the equation. -2.222222222t2 + 1.234567901 + t4 = -1.777777778 + 1.234567901 Reorder the terms: 1.234567901 + -2.222222222t2 + t4 = -1.777777778 + 1.234567901 Combine like terms: -1.777777778 + 1.234567901 = -0.543209877 1.234567901 + -2.222222222t2 + t4 = -0.543209877 Factor a perfect square on the left side: (t2 + -1.111111111)(t2 + -1.111111111) = -0.543209877 Can't calculate square root of the right side. The solution to this equation could not be determined.
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