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Simplifying x2 + -3.8x + 3.61 = 0 Reorder the terms: 3.61 + -3.8x + x2 = 0 Solving 3.61 + -3.8x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-3.61' to each side of the equation. 3.61 + -3.8x + -3.61 + x2 = 0 + -3.61 Reorder the terms: 3.61 + -3.61 + -3.8x + x2 = 0 + -3.61 Combine like terms: 3.61 + -3.61 = 0.00 0.00 + -3.8x + x2 = 0 + -3.61 -3.8x + x2 = 0 + -3.61 Combine like terms: 0 + -3.61 = -3.61 -3.8x + x2 = -3.61 The x term is -3.8x. Take half its coefficient (-1.9). Square it (3.61) and add it to both sides. Add '3.61' to each side of the equation. -3.8x + 3.61 + x2 = -3.61 + 3.61 Reorder the terms: 3.61 + -3.8x + x2 = -3.61 + 3.61 Combine like terms: -3.61 + 3.61 = 0.00 3.61 + -3.8x + x2 = 0.00 Factor a perfect square on the left side: (x + -1.9)(x + -1.9) = 0.00 Calculate the square root of the right side: 0.00 Break this problem into two subproblems by setting (x + -1.9) equal to 0.00 and 0.00.Subproblem 1
x + -1.9 = 0.00 Simplifying x + -1.9 = 0.00 Reorder the terms: -1.9 + x = 0.00 Solving -1.9 + x = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.9' to each side of the equation. -1.9 + 1.9 + x = 0.00 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + x = 0.00 + 1.9 x = 0.00 + 1.9 Combine like terms: 0.00 + 1.9 = 1.9 x = 1.9 Simplifying x = 1.9Subproblem 2
x + -1.9 = 0.00 Simplifying x + -1.9 = 0.00 Reorder the terms: -1.9 + x = 0.00 Solving -1.9 + x = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.9' to each side of the equation. -1.9 + 1.9 + x = 0.00 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + x = 0.00 + 1.9 x = 0.00 + 1.9 Combine like terms: 0.00 + 1.9 = 1.9 x = 1.9 Simplifying x = 1.9Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.9, 1.9}
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