Question

if X= 3⅓+3⅔ then the value of x³-9x-11 is ?

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Answer 1

Answer:

1

Step-by-step explanation:

$x=3^\frac{1}{3}+3^\frac{2}{3} \\ x^3=(3^\frac{1}{3}+3^\frac{2}{3})^3\\x^3=((3^\frac{1}{3})^3+(3^\frac{2}{3})^3+3(3^\frac{1}{3})(3^\frac{2}{3})( 3^\frac{1}{3}+3^\frac{2}{3})\\x^3=3+9+3(3)(x)$

$x^3=12+9x$

Substituting $x^3$ in the eqn. given in the question we get,

$x^3-9x-11=(12+9x)-9x-11\\=12-11=1$

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