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Simplifying x4 + 196 = 17x2 Reorder the terms: 196 + x4 = 17x2 Solving 196 + x4 = 17x2 Solving for variable 'x'. Reorder the terms: 196 + -17x2 + x4 = 17x2 + -17x2 Combine like terms: 17x2 + -17x2 = 0 196 + -17x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-196' to each side of the equation. 196 + -17x2 + -196 + x4 = 0 + -196 Reorder the terms: 196 + -196 + -17x2 + x4 = 0 + -196 Combine like terms: 196 + -196 = 0 0 + -17x2 + x4 = 0 + -196 -17x2 + x4 = 0 + -196 Combine like terms: 0 + -196 = -196 -17x2 + x4 = -196 The x term is -17x2. Take half its coefficient (-8.5). Square it (72.25) and add it to both sides. Add '72.25' to each side of the equation. -17x2 + 72.25 + x4 = -196 + 72.25 Reorder the terms: 72.25 + -17x2 + x4 = -196 + 72.25 Combine like terms: -196 + 72.25 = -123.75 72.25 + -17x2 + x4 = -123.75 Factor a perfect square on the left side: (x2 + -8.5)(x2 + -8.5) = -123.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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