Question

\(\left(2x-3\right)^2=36\)

Answer 1

Ta có : 

\(36=6^2\)

\(\Rightarrow\left(2x-3\right)^2=6^2\)

\(\Rightarrow\left(2x-3\right)=3\)

\(\Rightarrow2x=6\)

\(\Rightarrow x=3\)

:)

Answer 2

(2x -3) ² = 36

(2x - 3)² = 6²

=> 2x - 3 = 6

=> 2x = 9

=> x = 9 : 2

=> x = 9/2 = 4,5

Answer 3

(2x-3)²=36

\(\Rightarrow\)\(\orbr{\begin{cases}2x-3=6\\2x-3=-6\end{cases}\Rightarrow\orbr{\begin{cases}2x=9\\2x=-3\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{9}{2}\\x=\frac{-3}{2}\end{cases}}}\)

Answer 4

Ta có : 

( 2x trừ 3 )^2 bằng 36 

( 2x trừ 3 )^2 bằng 6^2

suy ra;

 2x trừ 3 bằng 6

2x          bằng 6 cộng 3 

2x          bằng 9

x            bằng 9 chia 2

x            bằng 4,5

Answer 5

\(\left(2x-3\right)^2=36\)

\(=\orbr{\begin{cases}\left(2x-3\right)^2=6^2\\\left(2x-3\right)^2=\left(-6\right)^2\end{cases}}\)

\(=\orbr{\begin{cases}2x-3=6\\2x-3=-6\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}2x=6+3\\2x=-6+3\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=\frac{9}{2}=4,5\\x=-\frac{3}{2}=-1,5\end{cases}}\)

\(\Rightarrow x=\left\{\frac{9}{2};-\frac{3}{2}\right\}\)