Math, asked by naved04oct, 11 months ago

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

Answers

Answered by shamulhaq
5

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..

Answered by praneethks
8

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.

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