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Simplifying -100 = 4.9x2 + 10x Reorder the terms: -100 = 10x + 4.9x2 Solving -100 = 10x + 4.9x2 Solving for variable 'x'. Reorder the terms: -100 + -10x + -4.9x2 = 10x + -10x + 4.9x2 + -4.9x2 Combine like terms: 10x + -10x = 0 -100 + -10x + -4.9x2 = 0 + 4.9x2 + -4.9x2 -100 + -10x + -4.9x2 = 4.9x2 + -4.9x2 Combine like terms: 4.9x2 + -4.9x2 = 0.0 -100 + -10x + -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'. 20.40816327 + 2.040816327x + x2 = 0 Move the constant term to the right: Add '-20.40816327' to each side of the equation. 20.40816327 + 2.040816327x + -20.40816327 + x2 = 0 + -20.40816327 Reorder the terms: 20.40816327 + -20.40816327 + 2.040816327x + x2 = 0 + -20.40816327 Combine like terms: 20.40816327 + -20.40816327 = 0.00000000 0.00000000 + 2.040816327x + x2 = 0 + -20.40816327 2.040816327x + x2 = 0 + -20.40816327 Combine like terms: 0 + -20.40816327 = -20.40816327 2.040816327x + x2 = -20.40816327 The x term is 2.040816327x. Take half its coefficient (1.020408164). Square it (1.041232821) and add it to both sides. Add '1.041232821' to each side of the equation. 2.040816327x + 1.041232821 + x2 = -20.40816327 + 1.041232821 Reorder the terms: 1.041232821 + 2.040816327x + x2 = -20.40816327 + 1.041232821 Combine like terms: -20.40816327 + 1.041232821 = -19.366930449 1.041232821 + 2.040816327x + x2 = -19.366930449 Factor a perfect square on the left side: (x + 1.020408164)(x + 1.020408164) = -19.366930449 Can't calculate square root of the right side. The solution to this equation could not be determined.
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