Practicing Success
If $9x^2 - 6x + 1= 0,$ then the value of $27x^3 + (27x^3)^{-1}$ will be : |
8 4 2 1 |
2 |
If $9x^2 - 6x + 1= 0,$ then the value of $27x^3 + (27x^3)^{-1}$ = ? Divide the equation by 3x on both the sides, we get 3x + \(\frac{1}{3x}\) = 2 Now we know that, If x + \(\frac{1}{x}\) = n then, $x^3 +\frac{1}{x^3}$ = n3 - 3 × n So, $27x^3 + (27x^3)^{-1}$ = 23 - 3 × 2 = 8 - 6 = 2 |