Question

1/x + 2/(2x-3) = 1/(x-2) find x

Answer 1

1 is value of X according to me

Answer 2

$\huge\bold{Answer:-}$

$\color{black}{The \:Value \:Of \:Is \: √3}$

Given :- 1/x + 2/ ( 2x - 3) = 1/x-2

To Find:- The value of x

so ,

$\color{black}{1/x + 2/(2x-3) = 1/x-2}$

$\color{black}{1/x -1/x-2 = 2/2x-3}$

$\color{black}{x-2-x/x(x-2) = 2/2x-3}$

$\color{black}{-2/x(x-2)=2/2x-3}$

$\color{black}{-1/x(x-2) = 1/2x-3}$

Now, by cross multiplication we get-

$\color{black}{-2x + 3 = x² - 2x}$

$\color{black}{x² - 2x + 2x - 3 = 0}$

$\color{black}{x²-3=0}$

$\color{black}{x² = 3 }$

$\color{black}{x = √3}$

$\therefore{X = √3}$