Question

Me expliquem o passo a passo para resolver essa equação:


5/4 = (1/2 +x)/(1-1/2*x)

Answer 1

5/4 = (1/2 +x)/(1-1/2*x)

⇒(1/2 +x) = 1+2x/2

⇒(1-1/2.x) = 1/1 -1x/2 = 2-1x/2

Answer 2

$\frac{5}{4} = \frac{ \frac{1}{2} +x}{1- \frac{1}{2}*x }$

$\frac{5}{4} = \frac{ \frac{1+2x}{2} }{ \frac{2-x}{2} }$

$\frac{5}{4} = \frac{1+2x}{2-x}$

$10-5x=4+8x$

$8x+5x=10-4$

$13x=6$

$x= \frac{13}{6}$