x13x2 x22x3 Solve by using quadratic formulaSolutionx13x2

x+1/3x+2 = x-2/2x-3

Solve by using quadratic formula

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

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

Expanding: 2x^2 -3x +2x -3 = 3x^2 + 2x - 6x -4

x^2 -4x +x -1 =0

x^2 -3x -1 =0

Find root from quadratice formula:

x = ( 3+ /- sqrt( 9 +4) )/2

= 3/2 +/- sqrt(13)/2