Question

34+2.(x-5)mũ 2=66

Answer 1

`34+2(x-5)^2=66`

`=>2(x-5)^2=66-34`

`=>2(x-5)^2=32`

`=>(x-5)^2=32:2`

`=>(x-5)^2=16=(4)^2=(-4)^2`

`=>` $\left[ \begin{array}{l}x-5=4\\x-5=-4\end{array} \right.$

`=>` $\left[ \begin{array}{l}x=9\\x=1\end{array} \right.$

Vậy x=9 hoặc x=1

Answer 2

Ta có: \(34+2\left(x-5\right)^2=66\)

\(\Leftrightarrow2\left(x-5\right)^2=32\)

\(\Leftrightarrow\left(x-5\right)^2=16\)

\(\Leftrightarrow\left[{}\begin{matrix}x-5=4\\x-5=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=9\\x=1\end{matrix}\right.\)

Vậy: \(x\in\left\{1;9\right\}\)