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Simplifying 20 = -4.9x2 + 17x + 4 Reorder the terms: 20 = 4 + 17x + -4.9x2 Solving 20 = 4 + 17x + -4.9x2 Solving for variable 'x'. Combine like terms: 20 + -4 = 16 16 + -17x + 4.9x2 = 4 + 17x + -4.9x2 + -4 + -17x + 4.9x2 Reorder the terms: 16 + -17x + 4.9x2 = 4 + -4 + 17x + -17x + -4.9x2 + 4.9x2 Combine like terms: 4 + -4 = 0 16 + -17x + 4.9x2 = 0 + 17x + -17x + -4.9x2 + 4.9x2 16 + -17x + 4.9x2 = 17x + -17x + -4.9x2 + 4.9x2 Combine like terms: 17x + -17x = 0 16 + -17x + 4.9x2 = 0 + -4.9x2 + 4.9x2 16 + -17x + 4.9x2 = -4.9x2 + 4.9x2 Combine like terms: -4.9x2 + 4.9x2 = 0.0 16 + -17x + 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'. 3.265306122 + -3.469387755x + x2 = 0 Move the constant term to the right: Add '-3.265306122' to each side of the equation. 3.265306122 + -3.469387755x + -3.265306122 + x2 = 0 + -3.265306122 Reorder the terms: 3.265306122 + -3.265306122 + -3.469387755x + x2 = 0 + -3.265306122 Combine like terms: 3.265306122 + -3.265306122 = 0.000000000 0.000000000 + -3.469387755x + x2 = 0 + -3.265306122 -3.469387755x + x2 = 0 + -3.265306122 Combine like terms: 0 + -3.265306122 = -3.265306122 -3.469387755x + x2 = -3.265306122 The x term is -3.469387755x. Take half its coefficient (-1.734693878). Square it (3.009162850) and add it to both sides. Add '3.009162850' to each side of the equation. -3.469387755x + 3.009162850 + x2 = -3.265306122 + 3.009162850 Reorder the terms: 3.009162850 + -3.469387755x + x2 = -3.265306122 + 3.009162850 Combine like terms: -3.265306122 + 3.009162850 = -0.256143272 3.009162850 + -3.469387755x + x2 = -0.256143272 Factor a perfect square on the left side: (x + -1.734693878)(x + -1.734693878) = -0.256143272 Can't calculate square root of the right side. The solution to this equation could not be determined.
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