Question

solve the following equations:x+6/x=x+5/x+2​

Answer 1

Answer:

x^2+8x+12/x^2+5x

Step-by-step explanation:

Hope it helps

Answer 2

$\huge\color{orange}\star\:\tt\pink{Answer}\:\star$

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

Cross multiplying

$(x + 6)(x + 2) = x(x + 5)$

${x}^{2} + 2x + 6x + 12 = {x}^{2} + 5x$

${x}^{2} + 8x + 12 = {x}^{2} + 5x$

cancelling x² from both sides,

$8x + 12 = 5x$

$8x - 5x = 12$

$3x = 12$

$x = \frac{12}{3}$

$x = 4.$

$\red{\boxed{\bold{\large{X=4}}}}$