If x + \(\frac{1}{x}\) = 12
then find the value of ( (x)2 + (\(\frac{1}{x}\))2 + 17)
Answer & explanation
Correct answer: option 2
⇒ If x + \(\frac{1}{x}\) = a then ( (x)2 + (\(\frac{1}{x}\))2 ) = a2 - 2
Here,
x + \(\frac{1}{x}\) = 12, then
⇒ ( (x)2 + (\(\frac{1}{x}\))2 + 17 ) = 122 - 2 + 17 = 159