Practicing Success
If x2 - 43x + 1= 0 and x > 1, then the value of x2 + \(\frac{1}{x^2}\) will be: |
1849 1853 1847 1434 |
1847 |
If x2 - 43x + 1= 0 Divide by x on both sides, x + \(\frac{1}{x}\) = 43 x2 + \(\frac{1}{x^2}\) = 432 - 2 = 1847
⇒ If x + \(\frac{1}{x}\) = a then x2 + \(\frac{1}{x^2}\) = a2 - 2 |