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Simplifying x4 + 15x2 + 62 = 0 Reorder the terms: 62 + 15x2 + x4 = 0 Solving 62 + 15x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-62' to each side of the equation. 62 + 15x2 + -62 + x4 = 0 + -62 Reorder the terms: 62 + -62 + 15x2 + x4 = 0 + -62 Combine like terms: 62 + -62 = 0 0 + 15x2 + x4 = 0 + -62 15x2 + x4 = 0 + -62 Combine like terms: 0 + -62 = -62 15x2 + x4 = -62 The x term is 15x2. Take half its coefficient (7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. 15x2 + 56.25 + x4 = -62 + 56.25 Reorder the terms: 56.25 + 15x2 + x4 = -62 + 56.25 Combine like terms: -62 + 56.25 = -5.75 56.25 + 15x2 + x4 = -5.75 Factor a perfect square on the left side: (x2 + 7.5)(x2 + 7.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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