Question

Sendo J=6666 e R=3333, o valor da expressão (J+R)^2-4J.R/(J-R)^2+4J.R é igual a:

Answer 1

$\alpha = (J+R)^{2} - \frac{4J.R}{(J+R)^{2} + 4J.R } \\ \alpha = (6,666.... + 3,333...)^{2} - \frac{4.6,666.3,333}{ (6,666.... + 3,333...)^{2} + 4.6,666.3,333 } \\ \alpha = 1^{2} - \frac{4}{ (1)^{2} + 4 } \\ \alpha = 1 - \frac{4}{ 1 + 4 } \\ \alpha = 1 - \frac{4}{ 5 } \\ \alpha = \frac{1}{ 5 }$