If x2 - 23x + 1= 0 and x > 1, then the value of x2 + \(\frac{1}{x^2}\) will be: |
527 530 529 555 |
527 |
If x2 - 23x + 1= 0 Divide by x on both sides, x + \(\frac{1}{x}\) = 23 x2 + \(\frac{1}{x^2}\) = 232 - 2 = 527
If x + \(\frac{1}{x}\) = a then, x2 + \(\frac{1}{x^2}\) = a2 - 2 |