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Simplifying b2 + -18b + 91 = 5 Reorder the terms: 91 + -18b + b2 = 5 Solving 91 + -18b + b2 = 5 Solving for variable 'b'. Reorder the terms: 91 + -5 + -18b + b2 = 5 + -5 Combine like terms: 91 + -5 = 86 86 + -18b + b2 = 5 + -5 Combine like terms: 5 + -5 = 0 86 + -18b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-86' to each side of the equation. 86 + -18b + -86 + b2 = 0 + -86 Reorder the terms: 86 + -86 + -18b + b2 = 0 + -86 Combine like terms: 86 + -86 = 0 0 + -18b + b2 = 0 + -86 -18b + b2 = 0 + -86 Combine like terms: 0 + -86 = -86 -18b + b2 = -86 The b term is -18b. Take half its coefficient (-9). Square it (81) and add it to both sides. Add '81' to each side of the equation. -18b + 81 + b2 = -86 + 81 Reorder the terms: 81 + -18b + b2 = -86 + 81 Combine like terms: -86 + 81 = -5 81 + -18b + b2 = -5 Factor a perfect square on the left side: (b + -9)(b + -9) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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