Question

If x - 1/x = 3, find the value of x² + 1/x² and x⁴ + 1/x⁴​

Answer 1

Answer:

7 & 47 ans

Step-by-step explanation:

${x}^{2} + \frac{1}{ {x}^{2} } = {3}^{2} - 2 = 9 - 2 = 7 \: ans \\ and \: {x}^{4} + \frac{1}{ {x}^{4} } = {3}^{4} - 4( {3}^{2}) + 2 \\ = 81 - 4(9) + 2 \\ = 81 - 36 + 2 \\ = 81 + 2 - 36 \\ = 83 - 36 \\ = 47 \: ans$