Question

if x =√18 then find the value of (x^5+x^4)/x^3
Very urgent

Answer 1

$\huge\bold{Solution}$

x = √18 => 3√2

(x^5 + x^4)/x³

=> [(3√2)^5 + (3√2)⁴] / (3√2)³

after solving this we get,

[972√2 + 324]/54√2

=> (972√2/54√2) + (324/54√2)

=> 18 + 3√2

=> 3(6 + √2)


Hope it helps you out ♡♡

Answer 2

Answer:

$\boxed{\boxed{\bf{3(6+\sqrt{2}}}}$

Step-by-step explanation:

Given :-

x = √18

⇒ x = √( 9 × 2 )

⇒ x = √9 × √2

⇒ x = 3√2

Given :

$\frac{x^5+x^4}{x^3}\\\\\implies \frac{x^5}{x^3}+\frac{x^4}{x^3}\\\\\implies x^2+x$

x² means the square of x .

x² is the value of x multiplied by x .

x = 3√2

x² = ( 3√2 )²

⇒ x² = 3² × (√2)²

⇒ x² = 9 × 2

⇒ x² = 18

x² + x = 18 + x

⇒ x² + x = 18 + 3√2

Take 3 as common :-

⇒ 3 ( 6 + √2 )

Hence the given expression is :-

3 ( 6 + √2 )