If (x − 5) = −1, then the value of $x^ 3(x^ 3 − 110)$ =?
Answer & explanation
Correct answer: option 2
If x + \(\frac{1}{x}\) = n
then, $x^3 +\frac{1}{x^3}$ = n3 - 3 × n
If x(x − 5) = −1
Then, x - 5 = \(\frac{-1}{x}\)
x + \(\frac{1}{x}\) = 5
$x^3 +\frac{1}{x^3}$ = 53 - 3 × 5 = 110
$x^ 3(x^ 3 − 110)$ = -1