Question

Qual o resultado dessa equacao modular?[2x-9]=13?
ppor favor

Answer 1

$\begin{cases} & \text{ } 2x - 9 = 13 \\ & \text{ } 2x - 9 = -13 \end{cases}\\\\ 2x - 9 = 13\\\\ 2x = 22\\\\ \boxed{x = 11 }\\\\ 2x - 9 = -13\\\\ 2x = -13 + 9\\\\ 2x = -4\\\\ \boxed{x = -2}\\\\ \boxed{\boxed{S : {-2, 11 }}}$

Answer 2

$|2x-9|=13 \\ \\ \\ 2x-9=13 \\ 2x=13+9 \\ 2x=22 \\ \\ x= \frac{22}{2} \\ \\ x=11$

ou

$2x-9=-13 \\ 2x=-13+9 \\2x=-4 \\ \\ x= \frac{-4}{2} \\ \\ x=-2$


S={xER/ x=11  ou  x=-2}