Question

from x²- 1 = 5x find the value of x⁸ + 1 ÷ x⁴​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$\boxed{\sf\ \implies: {x}^{8} + \frac{1}{ {x}^{8} } = 390641 \: \: \: \ddot \smile}$

Step-by-step explanation:

$\sf\ {x}^{2} - 1 = 5x \\ \\ \sf\ \implies:x - \frac{1}{x} = 5 \\ \\ \sf\ \implies: {(x - \frac{1}{x} })^{8} = {5}^{8} \\ \\ \sf\ \implies: { { \huge(x - \frac{1}{x} }^{2} \huge) }^{8} = {5}^{8} \\ \\ \sf\ \implies:({ {x}^{2} + \frac{1}{ {x}^{2} } - 2})^{4} = {5}^{8} \\ \\\sf\ \implies: {x}^{8} + \frac{1}{ {x}^{8} } - 16 = 390625 \\ \\ \sf\ \implies: {x}^{8} + \frac{1}{ {x}^{8} } = 390625 + 16 \\ \\ \boxed{\sf\ \implies: {x}^{8} + \frac{1}{ {x}^{8} } = 390641 \: \: \: \ddot \smile}$