Question

If x+1/x = 3 then x^2+1/x^3=?

Answer 1

Answer:

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Hey !

Here is your answer :-)

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

x+1 = 3x {Cross Multiply}

1 = 3x-x

1 = 2x

$\frac{1}{2}  = x$

Now ,

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

Putting the value of x

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

=

$\frac{\frac{1}{4} +1}{\frac{1}{8} }$

=

$\frac{\frac{5}{4} }{\frac{1}{8} }$    {Taking LCM}

=

$\frac{5*8}{4*1}$

=

$\frac{40}{4}$

=   10

Answer = 10

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