If x + \(\frac{1}{x}\) = 12 then find the value of  ( (x)2 + (\(\frac{1}{x}\))2 + 17)

160 159 157 170

159

⇒ 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