Discussion

Explanation:

Given, x² - 9x + 1 = 0

⇒ x² + 1 = 9x

Now, squaring both sides, we get

⇒ x⁴ + 1 + 2x² = 81x² 

⇒ x⁴ + 1 = 79x² 

Again, squaring both sides

⇒ x⁸ + 1 + 2x⁴ = 6241x² 

⇒ x⁸ - 6239x + 1 = 0

Hence, option (b).

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