If x2 - 33x + 1= 0
and x > 1, then the value of
x2 + \(\frac{1}{x^2}\) will be:
Answer & explanation
Correct answer: option 1
If x2 - 33x+ 1= 0
Divide by x on both sides,
x + \(\frac{1}{x}\) =33
x2 + \(\frac{1}{x^2}\) = 332 - 2 = 1087
If x + \(\frac{1}{x}\) = a
x2 + \(\frac{1}{x^2}\) = a2 - 2