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Suppose 1, 2, 3 are the roots of the equations x^4 +ax^2 + bx = c. Find the value of c.

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Suppose 1, 2, 3 are the roots of the equations x4 +ax2 + bx = c. Find the value of c.

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∵ Sum of the roots = 0

∴ 1 + 2 + 3 + α = 0 ⇒ α = –6

∴ Product of roots = –c = 1 × 2 × 3 × –6

⇒ c = 36

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