Question

If x+1/x = 3, Find the value of x4+1/x4.​

Answer 1

Answer:

9

Step-by-step explanation:

$\frac{x+1}{x} = 3\\\\x+1 = 3x\\\\2x=1\\\\x=\frac{1}{2}$

$\frac{x^ 4+1}{x^4} \\\\ \frac{(\frac{1}{2})^ 4+1}{(\frac{1}{2})^ 4} \\\\\frac{\frac{1}{8}+1 }{\frac{1}{8} } \\\\\frac{\frac{1}{8}+\frac{8}{8} }{\frac{1}{8}} \\\\\frac{\frac{9}{8}}{\frac{1}{8}}\\\\ \frac{9}{8}*8\\\\9$