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Simplifying 4b4 + 11b2 + 25 = 0 Reorder the terms: 25 + 11b2 + 4b4 = 0 Solving 25 + 11b2 + 4b4 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 6.25 + 2.75b2 + b4 = 0 Move the constant term to the right: Add '-6.25' to each side of the equation. 6.25 + 2.75b2 + -6.25 + b4 = 0 + -6.25 Reorder the terms: 6.25 + -6.25 + 2.75b2 + b4 = 0 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + 2.75b2 + b4 = 0 + -6.25 2.75b2 + b4 = 0 + -6.25 Combine like terms: 0 + -6.25 = -6.25 2.75b2 + b4 = -6.25 The b term is 2.75b2. Take half its coefficient (1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. 2.75b2 + 1.890625 + b4 = -6.25 + 1.890625 Reorder the terms: 1.890625 + 2.75b2 + b4 = -6.25 + 1.890625 Combine like terms: -6.25 + 1.890625 = -4.359375 1.890625 + 2.75b2 + b4 = -4.359375 Factor a perfect square on the left side: (b2 + 1.375)(b2 + 1.375) = -4.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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