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Simplifying x2 + -72x + 9 = 0 Reorder the terms: 9 + -72x + x2 = 0 Solving 9 + -72x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -72x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -72x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -72x + x2 = 0 + -9 -72x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -72x + x2 = -9 The x term is -72x. Take half its coefficient (-36). Square it (1296) and add it to both sides. Add '1296' to each side of the equation. -72x + 1296 + x2 = -9 + 1296 Reorder the terms: 1296 + -72x + x2 = -9 + 1296 Combine like terms: -9 + 1296 = 1287 1296 + -72x + x2 = 1287 Factor a perfect square on the left side: (x + -36)(x + -36) = 1287 Calculate the square root of the right side: 35.874782229 Break this problem into two subproblems by setting (x + -36) equal to 35.874782229 and -35.874782229.Subproblem 1
x + -36 = 35.874782229 Simplifying x + -36 = 35.874782229 Reorder the terms: -36 + x = 35.874782229 Solving -36 + x = 35.874782229 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + x = 35.874782229 + 36 Combine like terms: -36 + 36 = 0 0 + x = 35.874782229 + 36 x = 35.874782229 + 36 Combine like terms: 35.874782229 + 36 = 71.874782229 x = 71.874782229 Simplifying x = 71.874782229Subproblem 2
x + -36 = -35.874782229 Simplifying x + -36 = -35.874782229 Reorder the terms: -36 + x = -35.874782229 Solving -36 + x = -35.874782229 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + x = -35.874782229 + 36 Combine like terms: -36 + 36 = 0 0 + x = -35.874782229 + 36 x = -35.874782229 + 36 Combine like terms: -35.874782229 + 36 = 0.125217771 x = 0.125217771 Simplifying x = 0.125217771Solution
The solution to the problem is based on the solutions from the subproblems. x = {71.874782229, 0.125217771}
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