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Simplifying t2 + -6t + 13 = 0 Reorder the terms: 13 + -6t + t2 = 0 Solving 13 + -6t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + -6t + -13 + t2 = 0 + -13 Reorder the terms: 13 + -13 + -6t + t2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -6t + t2 = 0 + -13 -6t + t2 = 0 + -13 Combine like terms: 0 + -13 = -13 -6t + t2 = -13 The t term is -6t. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6t + 9 + t2 = -13 + 9 Reorder the terms: 9 + -6t + t2 = -13 + 9 Combine like terms: -13 + 9 = -4 9 + -6t + t2 = -4 Factor a perfect square on the left side: (t + -3)(t + -3) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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