Question

35.(x-4)^2=875

 

Answer 1

\(35.\left(x-4\right)^2=875\)

\(\Leftrightarrow\left(x-4\right)^2=25\)

\(\Leftrightarrow\orbr{\begin{cases}x-4=-5\\x-4=5\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-1\\x=9\end{cases}}\)

Vậy \(x=-1\)hoặc \(x=9\)

Answer 2

\(35.\left(x-4\right)^2=875\)

\(< =>\left(x-4\right)^2=\frac{875}{35}=25\)

\(< =>\orbr{\begin{cases}x-4=5\\x-4=-5\end{cases}< =>\orbr{\begin{cases}x=9\\x=-1\end{cases}}}\)

Answer 3

35( x - 4 )² = 875

<=> ( x - 4 )² = 25

<=> ( x - 4 )² = ( ±5 )²

<=> x - 4 = 5 hoặc x - 4 = -5

<=> x = 9 hoặc x = -1

Answer 4

\(35.\left(x-4\right)^2=875\)

\(\Rightarrow\left(x-4\right)^2=875:35\)

\(\Rightarrow\left(x-4\right)^2=25\)

\(\Rightarrow\left(x-4\right)^2=5^2\)

\(\Leftrightarrow\orbr{\begin{cases}x-4=5\\x-4=-5\end{cases}\Rightarrow\orbr{\begin{cases}x=9\\x=-1\end{cases}}}\)

Học tốt

Answer 5

\(35\left(x-4\right)^2=875\)

\(\left(x-4\right)^2=25\)

\(\left(x-4\right)^2=\pm5\)

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