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Simplifying 11 = 6.4x + -0.5(9.8) * x2 Multiply -0.5 * 9.8 11 = 6.4x + -4.9x2 Solving 11 = 6.4x + -4.9x2 Solving for variable 'x'. Reorder the terms: 11 + -6.4x + 4.9x2 = 6.4x + -6.4x + -4.9x2 + 4.9x2 Combine like terms: 6.4x + -6.4x = 0.0 11 + -6.4x + 4.9x2 = 0.0 + -4.9x2 + 4.9x2 11 + -6.4x + 4.9x2 = -4.9x2 + 4.9x2 Combine like terms: -4.9x2 + 4.9x2 = 0.0 11 + -6.4x + 4.9x2 = 0.0 Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 2.244897959 + -1.306122449x + x2 = 0 Move the constant term to the right: Add '-2.244897959' to each side of the equation. 2.244897959 + -1.306122449x + -2.244897959 + x2 = 0 + -2.244897959 Reorder the terms: 2.244897959 + -2.244897959 + -1.306122449x + x2 = 0 + -2.244897959 Combine like terms: 2.244897959 + -2.244897959 = 0.000000000 0.000000000 + -1.306122449x + x2 = 0 + -2.244897959 -1.306122449x + x2 = 0 + -2.244897959 Combine like terms: 0 + -2.244897959 = -2.244897959 -1.306122449x + x2 = -2.244897959 The x term is -1.306122449x. Take half its coefficient (-0.6530612245). Square it (0.4264889629) and add it to both sides. Add '0.4264889629' to each side of the equation. -1.306122449x + 0.4264889629 + x2 = -2.244897959 + 0.4264889629 Reorder the terms: 0.4264889629 + -1.306122449x + x2 = -2.244897959 + 0.4264889629 Combine like terms: -2.244897959 + 0.4264889629 = -1.8184089961 0.4264889629 + -1.306122449x + x2 = -1.8184089961 Factor a perfect square on the left side: (x + -0.6530612245)(x + -0.6530612245) = -1.8184089961 Can't calculate square root of the right side. The solution to this equation could not be determined.
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