Question

If x-1/x = 8, then the value of x²+1/x² is
a) 66. b)64. c)62. d)68​

Answer 1

Answer:

$Option \: (d) \: \: 68$

Step-by-step explanation:

$x {}^{2} + \frac{1}{x {}^{2} } = (x - \frac{1}{x} ) {}^{2} + 2 \\ \: \: \: \: \: \: \: =(8) {}^{2} + 2 \\ \: \: \: \: = 64 + 2$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = > 68$