Question

Solve this with full workout ​

Answer 1

Solution:-

Given

$\rm \to \: x = \sqrt{18}$

To find the value of

$\to \rm\dfrac{ {x}^{5} + {x}^{4} }{ {x}^{3} }$

Now Take

$\to \rm\dfrac{ {x}^{5} + {x}^{4} }{ {x}^{3} }$

And simply The given equation

$\rm \to \: \dfrac{ {x}^{4}(x + 1) }{ {x}^{3} }$

$\rm \to \: \dfrac{ x \times {x}^{3}(x + 1) }{ {x}^{3} }$

$\rm \to \: \dfrac{ x \times \cancel{{x}^{3}}(x + 1) }{ \cancel{ {x}^{3} }}$

We Get

$\rm \to \: x(x + 1)$

$\rm \to \: {x}^{2} + x$

Now put the value of equation

$\rm \to \: {x}^{2} + x$

Where x = √18 , We get

$\rm \to \: {( \sqrt{18} )}^{2} + \sqrt{18}$

$\rm \to \: 18 + \sqrt{18}$

Answer

$\rm \to \: 18 + \sqrt{18}$