Question

What is true about the solution of x^2/2x-6=9/6x-18

Answer 1

A on edge/e2020

Explanation:

Answer 2

The true solution of given polynomial is 1.732 , - 1.732

Explanation:

Given polynomial as :

`(x^(2) )/(2 x - 6)` =
`(9)/(6 x - 18)`

Or,
`(x^(2) )/(2 (x - 3))` =
`(9)/(6 (x - 3))`

Or,
`(x^(2) )/(2 (x - 3))` =
`(3)/(2 (x - 3))`

Taking away 2 as common from denominator of both side

So,
`(x^(2) )/((x - 3))` =
`(3)/((x - 3))`

Now, cross multiplying both side

Or, x² × (x - 3) = 3 × (x - 3)

Or,
`(x^(2) )/(3)` =
`((x -3))/((x - 3))`

Or,
`(x^(2) )/(3)` = 1

∴ x² = 3

i.e x =
`\pm √(3)`

Or, x = 1.732 , and x = - 1.732

So, The value of x = 1.732 , - 1.732

Hence, The true solution of given polynomial is 1.732 , - 1.732 Answer