Question

if x - 1/x = 3, find the values of x² + 1/x² and x⁴ + 1/x⁴​

Answer 1

Answer: 11, 119

Step-by-step explanation: x-1/x = 3

x-1/x whole square = x square + 1 / x square - 2

x - 1/x whole square = 3 whole square

so x square + 1/ x square -2 = 9

so x square + 1/ square will be 9+2 = 11

x power 4 + 1/ x power 4 will be x square + 1/ x square whole square

so by squaring on both sides we get x square whole square + 1/ x square whole square =11 whole square

so x power 4 + 1/ x power +2 = 121

x power 4 + 1/ x power 4 will be 121-2=119

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