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Simplifying x2 + -2.55x + 4.5 = 0 Reorder the terms: 4.5 + -2.55x + x2 = 0 Solving 4.5 + -2.55x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + -2.55x + -4.5 + x2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + -2.55x + x2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -2.55x + x2 = 0 + -4.5 -2.55x + x2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 -2.55x + x2 = -4.5 The x term is -2.55x. Take half its coefficient (-1.275). Square it (1.625625) and add it to both sides. Add '1.625625' to each side of the equation. -2.55x + 1.625625 + x2 = -4.5 + 1.625625 Reorder the terms: 1.625625 + -2.55x + x2 = -4.5 + 1.625625 Combine like terms: -4.5 + 1.625625 = -2.874375 1.625625 + -2.55x + x2 = -2.874375 Factor a perfect square on the left side: (x + -1.275)(x + -1.275) = -2.874375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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