Question

(×+3)/(×+2)=(3×-7)/(2×-3) how to solve​

Answer 1

Answer:

The equation obtained is

${x}^{2} - 4x - 5$

and the roots are x = 5, -1.

Step-by-step explanation:

the answer is explained in the image.

Answer 2

Answer:

valuues of x may be 5 or -1

Step-by-step explanation:

(x+3) / (x+2) = (3x-7) / (2x-3)

On cross multiplying we get,

(x+3)(2x-3)   = (3x-7)(x+2)

2x²-3x+6x-9= 3x²+6x-7x-14

2x²+3x-9     = 3x²-x-14

2x²-3x²+3x+x-9+14 = 0

              -x²+4x+5 = 0

multiplying throughout by -1,

               x²-4x-5  = 0

a = 1 ,  b = -4 ,  c = -5

b²-4ac = (-4)²-4×1×-5

          = 16+20

          = 36

      x  = {-b±√[b²-4ac] } / 2a

          = 4±√36 / 2

          = 4±6 / 2

 x = 4+6 / 2       x = 4-6 / 2

    = 10/2              = -2/2

    = 5                  = -1