Question

How do you solve `(2x-3)/(x+3)=(3x)/(x+4)`?

Answer 1

`x=-2+2.828i, x=-2-2.828i`

Explanation:

`(2x-3)/(x+3)=(3x)/(x+4) or (2x-3)(x+4)=3x(x+3) or 2x^2+5x-12=3x^2+9x or x^2+4x+12=0 or (x+2)^2-4+12=0 or (x+2)^2 =-8 or (x+2)=+-sqrt(-8) or (x+2)= 2sqrt2 i or x= -2+2sqrt2 i or x= -2-2sqrt2 i or x=-2+2.828i, x=-2-2.828i`[Ans]