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Simplifying a = a2 + 5 Reorder the terms: a = 5 + a2 Solving a = 5 + a2 Solving for variable 'a'. Reorder the terms: -5 + a + -1a2 = 5 + a2 + -5 + -1a2 Reorder the terms: -5 + a + -1a2 = 5 + -5 + a2 + -1a2 Combine like terms: 5 + -5 = 0 -5 + a + -1a2 = 0 + a2 + -1a2 -5 + a + -1a2 = a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -5 + a + -1a2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 5 + -1a + a2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -1a + -5 + a2 = 0 + -5 Reorder the terms: 5 + -5 + -1a + a2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a + a2 = 0 + -5 -1a + a2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1a + a2 = -5 The a term is a. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1a + 0.25 + a2 = -5 + 0.25 Reorder the terms: 0.25 + -1a + a2 = -5 + 0.25 Combine like terms: -5 + 0.25 = -4.75 0.25 + -1a + a2 = -4.75 Factor a perfect square on the left side: (a + 0.5)(a + 0.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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