Question

X²+1/x²= 3

x⁶+1/x³ =?
(x²-1/x²)³ = ??​

Answer 1

Step-by-step explanation:

${x}^{2} + 1 \div {x}^{2} = 3 \\ {x}^{2} + ( {1 \div x}) ^{2} = 3 \\ ({x + 1 \div x })^{2} - 2x \times 1 \div x = 3 \\ ( {x + 1 \div x}) ^{2} = 5 \\ x + 1 \div x = \sqrt{5}$