Question

(3x-5)mũ2 =16

Answer 1

\(\left(3x-5\right)^2=16\)
\(\Rightarrow\left(3x-5\right)^2=\left(\pm4\right)^2\)
\(\Rightarrow\left[{}\begin{matrix}3x-5=4\\3x-5=-4\end{matrix}\right.\)               \(\Rightarrow\left[{}\begin{matrix}x=3\\x=\dfrac{1}{3}\end{matrix}\right.\)
                  Vậy \(x\in\left\{3;\dfrac{1}{3}\right\}\)

Answer 2

`(3x - 5)^2 = 16`

`=> (3x - 5 )^2 = 4^2` hoặc `(-4)^2`

`@` Trường hợp `1` `:`

`3x - 5 = 4`

`=> 3x = 4 + 5`

`=> 3x = 9`

`=> x = 9 : 3`

`=> x = 3`

`@` Trường hợp `2` `:`

`3x - 5 = -4`

`=> 3x = -4 + 5`

`=> 3x = 1`

`=> x = 1 : 3`

`=> x = 1/3`

Vậy `x in { 3 ; 1/3}`