Question

if 3x + 1/x = 4, then x³ + 1/27x³ + 5 = ???​

Answer 1

Answer:

Here is your answer ...

6.03

Step-by-step explanation:

The given equation is :

$3x + \frac{1}{x} = 4$

From this equation , we will find the value of x .

By multiplying both sides by x :

$3xx + \frac{1}{x} x = 4x$

OR

${3x}^{2} + 1 = 4x$

Now by simplifying it ;

$x = 1 \:or \: x = \frac{1}{3}$

Now , we will use x = 1 to solve this equation :

${x}^{3} + \frac{1}{27 {x}^{3} } + 5$

By using the value of x ,

${1}^{3} + \frac{1}{27 ( {1}^{3})} + 5$

Or

$= 1 + \frac{1}{27 \times 1} + 5$

$= 6+ \frac{1}{27}$

Or.

$= \frac{6 \times 27}{27} + \frac{1}{27}$

$= \frac{6 \times 27 + 1}{27}$

$= \frac{163}{27}$

$= 6.03$

Hope this will help you ...

Thank you ...