Question

12x+17/3x+1-2x+15/x+7=16/5

Answer 1

hopes helps u dear friend

Answer 2

Answer:

The values of x are 3 and $-\frac{68}{9}$.

Step-by-step explanation:

The given equation is

$\frac{12x+17}{3x+1}-\frac{2x+15}{x+7}=\frac{16}{5}$

$\frac{(12x+17)(x+7)-(3x+1)(2x+15)}{(3x+1)(x+7)}=\frac{16}{5}$

$\frac{6 x^2 + 54 x + 104}{3 x^2 + 22 x + 7} = \frac{16}{5}$

$5(6 x^2 + 54 x + 104)=16(3 x^2 + 22 x + 7)$

$30 x^2 + 270 x + 520=48 x^2 + 352 x + 112$

$0=18 x^2 + 82 x -408$

Using quadratic formula,

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-82\pm \sqrt{(82)^2-4(18)(-408)}}{2(18)}$

$x=3,-\frac{68}{9}$

The values of x are 3 and $-\frac{68}{9}$.