Question

x+1/x²=23 then find x⁴+1/x⁴​

Answer 1

Answer:

439.

Step-by-step explanation:

(x+1/x)² = 23

=> x²+1/x²+2=23

=> x²+1/x² = 23 -2 =21

$x^{4} + \frac{1}{x^{4} }\\= (x^{2} + \frac{1}{x^{2} } -2\\= (21)^{2} - 2\\= 441 -2 \\= 439$