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Simplifying 534 = -4.9h2 + 12.25h + 0 Reorder the terms: 534 = 0 + 12.25h + -4.9h2 Remove the zero: 534 = 12.25h + -4.9h2 Solving 534 = 12.25h + -4.9h2 Solving for variable 'h'. Reorder the terms: 534 + -12.25h + 4.9h2 = 12.25h + -12.25h + -4.9h2 + 4.9h2 Combine like terms: 12.25h + -12.25h = 0.00 534 + -12.25h + 4.9h2 = 0.00 + -4.9h2 + 4.9h2 534 + -12.25h + 4.9h2 = -4.9h2 + 4.9h2 Combine like terms: -4.9h2 + 4.9h2 = 0.0 534 + -12.25h + 4.9h2 = 0.0 Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 108.9795918 + -2.5h + h2 = 0 Move the constant term to the right: Add '-108.9795918' to each side of the equation. 108.9795918 + -2.5h + -108.9795918 + h2 = 0 + -108.9795918 Reorder the terms: 108.9795918 + -108.9795918 + -2.5h + h2 = 0 + -108.9795918 Combine like terms: 108.9795918 + -108.9795918 = 0.0000000 0.0000000 + -2.5h + h2 = 0 + -108.9795918 -2.5h + h2 = 0 + -108.9795918 Combine like terms: 0 + -108.9795918 = -108.9795918 -2.5h + h2 = -108.9795918 The h term is -2.5h. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5h + 1.5625 + h2 = -108.9795918 + 1.5625 Reorder the terms: 1.5625 + -2.5h + h2 = -108.9795918 + 1.5625 Combine like terms: -108.9795918 + 1.5625 = -107.4170918 1.5625 + -2.5h + h2 = -107.4170918 Factor a perfect square on the left side: (h + -1.25)(h + -1.25) = -107.4170918 Can't calculate square root of the right side. The solution to this equation could not be determined.
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