Solve the equation 1x 4 2x 3 1x2 7x 12Solution1x4 2x3

Solve the equation. 1/x + 4 + 2/x + 3 = -1/x^2 + 7x + 12

Solution

1/(x+4) +2/(x+3) = -1/(x^2 +7x +12)

Take LCD as (x+4)(x+3) on LHS:

{ (x+3) +2(x+4) }/(x+4)(x+3) =-1/(x^2 +7x +12)

( 3x +11)/(x^2 +7x +12) = -1/(x^2 +7x +12)

denominator gets cancelled oiut on both sides:

3x +11 = -1

3x = -12

x = -4 (solution)