Question

If x⁴ + 1/x⁴ = 6239, find x + 1/x.
Guys Please solve this​

Answer 1

Answer:

Answer is 9

Step-by-step explanation:

$x^{4}+\frac{1}{x^{4}} =6239$

$→(x^{2}+\frac{1}{x²})²-2=6239$

$→x²+\frac{1}{x²}=\sqrt{6239+2}$

$→X²+\frac{1}{x²}=\sqrt{6241}=79$

$→(x+\frac{1}{x})²-2=79$

$→x+\frac{1}{x}=\sqrt{79+2}=\sqrt{81}=9$