Question

\(\left(2x+1\right)^2=25\)

Answer 1

\(\Rightarrow\orbr{\begin{cases}\left(2x+1\right)^2=5^2\\\left(2x+1\right)^2=\left(-5\right)^2\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}2x+1=5\\2x+1=\left(-5\right)\end{cases}}\Rightarrow\orbr{\begin{cases}2x=4\\2x=\left(-6\right)\end{cases}}\)

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

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

Answer 2

(2x+1)²=25

=>(2x-1)=5

=>2x=5+1=6

=>x=6:2=3

Answer 3

(2x + 1)² = 25

(2x + 1)²  = 5²

(2x + 1) = 5

2x = 5 - 1

2x = 4

x = 4 : 2

x = 2

Answer 4

=> 2x+1=5 hoặc 2x+1=-5

<=> 2x=4 hoặc 2x=-6

<=> x=2 hoặc x=-3

Answer 5

(2x+1)² =25

=> (2x+1)² =5²

=> 2x + 1 = 5

=> 2x = 4 

=> x=4:2 = 2

Answer 6

\(=>\left(2x+1\right)=5hoac\left(2x+1\right)=-5\)

\(+neu\left(2x+1\right)=0\)

\(=>x=2\)

\(+neu\left(2x+1\right)=-5\)

\(=>x=-3\)

Answer 7

\(\left(2x+1\right)^2=25\)

\(\left(2x+1\right)^2=5^2\)

\(2x+1=5\)

\(2x=5-1\)

\(2x=4\)

x = 4 : 2 

=> x = 2

Answer 8

\(\left(2x+1\right)^2=25\)

=>\(\orbr{\begin{cases}2x+1=-5\\2x+1=5\end{cases}}\)

=>\(\orbr{\begin{cases}2x=-6\\2x=4\end{cases}}\)

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

Vậy x=-3 hoặc x=2

Answer 9

\(\left(2x+1\right)^2=25\)

\(\Rightarrow\left(2x+1\right)^2=5^2\)

\(\Rightarrow2x+1=5\)

\(\Rightarrow2x=4\Rightarrow x=2\)