Practicing Success
If x2 - 32x + 1= 0 and x > 1, then the value of x2 + \(\frac{1}{x^2}\) will be: |
1024 1025 1026 1022 |
1022 |
If x2 - 32x + 1= 0 Divide by x on both sides, x + \(\frac{1}{x}\) = 32 x2 + \(\frac{1}{x^2}\) = 322 - 2 = 1022
If x + \(\frac{1}{x}\) = a x2 + \(\frac{1}{x^2}\) = a2 - 2 |