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Simplifying z4 + -16z2 + 100 = 0 Reorder the terms: 100 + -16z2 + z4 = 0 Solving 100 + -16z2 + z4 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-100' to each side of the equation. 100 + -16z2 + -100 + z4 = 0 + -100 Reorder the terms: 100 + -100 + -16z2 + z4 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -16z2 + z4 = 0 + -100 -16z2 + z4 = 0 + -100 Combine like terms: 0 + -100 = -100 -16z2 + z4 = -100 The z term is -16z2. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16z2 + 64 + z4 = -100 + 64 Reorder the terms: 64 + -16z2 + z4 = -100 + 64 Combine like terms: -100 + 64 = -36 64 + -16z2 + z4 = -36 Factor a perfect square on the left side: (z2 + -8)(z2 + -8) = -36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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