Question

( x +\(\frac{1}{2}\))² = 9

Answer 1

(x+1/2)²=9 <=> (x+1/2)²=3² <=> x+1/2=3 => x=5/2 !!

Answer 2

\(\left(x+\frac{1}{2}\right)^2=9\)

\(\Rightarrow\orbr{\begin{cases}\left(x+\frac{1}{2}\right)^2=3^2\\\left(x+\frac{1}{2}\right)^2=\left(-3\right)^2\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x+\frac{1}{2}=3\\x+\frac{1}{2}=-3\end{cases}}\)

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

\(\Rightarrow\orbr{\begin{cases}x=\frac{5}{2}\\x=-\frac{7}{2}\end{cases}}\)

Answer 3

\(x+\frac{1}{2}=3hoac-3\)

\(x=3-\frac{1}{2}=\frac{5}{2}hoac-3-\frac{1}{2}=-\frac{7}{2}\)

Answer 4

(x+1/2)²=(+-3)² => x+1/2 =-3 hoặc x+1/2=3 => x=-7/2 hoặc x=5/2