Question

solve for x : 2(x+2/2x-3)-9(2x-3/x+2)=3

Answer 1

Answer:

its -3 that i got

Step-by-step explanation:

while giving the value of x=1,

we get 2(3/-1)-9(-1/3)=0

-6+3=0

=-3..

Answer 2

Step-by-step explanation:

Let (x+2)/(2x-3) be y then (2x-3)/(x+2) will become 1/y hence

$2y - \frac{9}{y} = 3 = > 2 {y}^{2} - 3y - 9 = 0 = >$

$2 {y}^{2} - 6y + 3y - 9 = 0 = >$

$(2y + 3)(y - 3) = 0 = > 2y + 3 = 0$

$or \: y - 3 = 0 = > y = - \frac{3}{2} \: or \: 3$

If y = -3/2 then (x+2)/(2x-3) = -3/2 =>2(x+2) =

-3(2x-3) =>2x+4+6x-9=0 =>8x-5=0 =>x =5/8

and if y=3 =>(x+2)/(2x-3)=3=>x+2=6x-9 =>5x=11 =>x =11/5 hence the solutions of x for which it satisfies the equation are 5/8 and 11/5. Hope it helps you.