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Simplifying 9t4 + 4t2 + 25 = 0 Reorder the terms: 25 + 4t2 + 9t4 = 0 Solving 25 + 4t2 + 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'. 2.777777778 + 0.4444444444t2 + t4 = 0 Move the constant term to the right: Add '-2.777777778' to each side of the equation. 2.777777778 + 0.4444444444t2 + -2.777777778 + t4 = 0 + -2.777777778 Reorder the terms: 2.777777778 + -2.777777778 + 0.4444444444t2 + t4 = 0 + -2.777777778 Combine like terms: 2.777777778 + -2.777777778 = 0.000000000 0.000000000 + 0.4444444444t2 + t4 = 0 + -2.777777778 0.4444444444t2 + t4 = 0 + -2.777777778 Combine like terms: 0 + -2.777777778 = -2.777777778 0.4444444444t2 + t4 = -2.777777778 The t term is 0.4444444444t2. Take half its coefficient (0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. 0.4444444444t2 + 0.04938271604 + t4 = -2.777777778 + 0.04938271604 Reorder the terms: 0.04938271604 + 0.4444444444t2 + t4 = -2.777777778 + 0.04938271604 Combine like terms: -2.777777778 + 0.04938271604 = -2.72839506196 0.04938271604 + 0.4444444444t2 + t4 = -2.72839506196 Factor a perfect square on the left side: (t2 + 0.2222222222)(t2 + 0.2222222222) = -2.72839506196 Can't calculate square root of the right side. The solution to this equation could not be determined.
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