Question

x^2+5x+4/x^2+3x+2=3/2

Answer 1

x^2+x+4x+4/x^2+x+2x+2=3/2

x (x+1)+4 (x+1)/x (x+1)+2 (x+1)=3/2

(x+1)(x+4)/(x+1)(x+2)=3/2

x+4/x+2=3/2

2 (x+4)=3 (x+2)

2x+8=3x+6

x=2

Answer 2

2x square + 10 x + 8 = 3x square + 9 x + 6

x square - x - 2 = 0

x square -2x + x - 2 = 0
x = 2,-1