Question

x+2/x+5 + x+6/x+3=7/2​

Answer 1

its so long ..nd hard so i did not answer this quistion

Answer 2

Answer:

$x^{2} + 8x + 11 = 0$

Step-by-step explanation:

   $\frac{x+2}{x+5} + \frac{x+6}{x+3} = \frac{7}{2}$

⇒ $\frac{(x+2)(x+3) + (x+6)(x+5)}{(x+5)(x+3)} = \frac{7}{2}$

⇒ $\frac{x^{2}+5x + 6 + x^{2} + 11x + 30 }{x^{2} + 8x + 15} = \frac{7}{2}$

⇒ $\frac{2x^{2} + 16x + 36}{x^{2} +8x + 15} = \frac{7}{2}$

⇒ $\frac{2(2x^{2} + 16x + 36)}{7(x^{2} +8x + 15)} = 1$

⇒ $\frac{4x^{2} + 32x + 72}{7x^{2} +56x + 105} = 1$

⇒ $4x^{2} + 32x + 72 = 7x^{2} +56x + 105$

⇒ $7x^{2} - 4x^{2} + 56x - 32x + 105 - 72 = 0$

⇒ $3x^{2} + 24x + 33 = 0$

⇒ $x^{2} + 8x + 11 = 0$