Question

Tìm x:

( x - 1)²  + 3^2 = 5^2 . 1^100

 

Answer 1

(x - 1)² + 3² = 5².1¹⁰⁰

(x - 1)² + 9 = 25 .1

(x - 1)² + 9 = 25

(x - 1)² = 25 - 9

(x - 1)² = 16

x - 1 = 4 hoặc x - 1 = -4

*) x - 1 = 4

x = 4 + 1

x = 5

*) x - 1 = -4

x = -4 + 1

x = -3

Vậy x = -3; x = 5

Answer 2

\(\left(x-1\right)^2+3^2=5^2\cdot1^{100}\\ \Leftrightarrow\left(x-1\right)^2+9=25\\ \Leftrightarrow\left(x-1\right)^2=16\\ \Rightarrow\left[{}\begin{matrix}x-1=4\\x-1=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=-3\end{matrix}\right.\)

Answer 3

=>(x-1)\(^2\)+3\(^2\)=25

=>(x-1)\(^2\)=25-9

=>(x-1)\(^2\)=16

=>x-1=4

=>x=5