Question

if 2x-1/X=4then find the value of x²+1/4x²​

Answer 1

Answer:

16

May be it is helpful for you

Answer 2

Given: The equation is$2x-1/x=4$.

We have to find the value of the equation$x^{2} +1/4x^{2}$.

We are solving in the following way:

We have,

The equation is$2x-1/x=4$

From the above equation, we can find the value of'$x$'.

Now,

$=>\frac{2x-1}{x}=4 \\\\=>2x-1=4x\\=>2x-4x=1\\=>-2x=1\\\\=>x=-\frac{1}{2}$

Hence, the value of '$x$' is$-\frac{1}{2}$

By putting the value of '$x$' in the equation$x^{2} +1/4x^{2}$ we are solving the equation:

$x^{2} +1/4x^{2}$

$=>(-\frac{1}{2} )^{2} +\frac{1}{4\times(\frac{-1}{2})^{2} } \\\\=>\frac{1}{2} +\frac{1}{4\times\frac{1}{2} } \\\\=>\frac{1}{2} +\frac{1}{\frac{4}{2} } \\\\=>\frac{1}{2} +\frac{1}{2} \\\\=>\frac{1+1}{2} \\\\=>\frac{2}{2}$

Solving the above equation further we get,

$=>1$

Hence, the value of the equation$x^{2} +1/4x^{2}$ will be$1$.