If x + \(\frac{1}{x}\) = 44
then find the value of ( (x)2 + (\(\frac{1}{x}\))2 + 117)
Answer & explanation
Correct answer: option 4
⇒ If x + \(\frac{1}{x}\) = a then ( (x)2 + (\(\frac{1}{x}\))2 ) = a2 - 2
Here,
x + \(\frac{1}{x}\) = 44, then
⇒ ( (x)2 + (\(\frac{1}{x}\))2 + 117) = 442 - 2 + 117 = 2051