2. Tìm x:
( x - 3 )2 - x + 3 = 0
=> x2 - 6x + 9 - x + 3 = 0
=> x2 - 7x + 12 = 0
=> ( x2 - 3x ) + ( 4x - 12 ) = 0
=> x.(x - 3) + 4.(x - 3) = 0
=> ( x - 3 ).( x + 4 ) = 0
=> x - 3 = 0 => x = 3
x + 4 = 0 => x = -4
Trl:
1.
a. \(75^2+150\text{.}25+25^2\)
\(=75^2+2\text{.}75\text{.}25+25^2\)
\(=\left(75+25\right)^2\)
\(=100^2\)
\(=10000\)
b. \(2019^2-2019.19-19^2-19.1981\)
(Đề bài có sai ko vậy???)~ hoặc lak do mk ngu quá k bt lm
2. \(\left(\text{x}-3\right)^2-\text{x}+3=0\)
\(\text{x}^2-6\text{x}+9-\text{x}+3=0\)
\(\text{x}^2-7\text{x}+12=0\)
\(\text{x}^2-3\text{x}-4\text{x}+12=0\)
\(\text{x}\left(\text{x}-3\right)-4\left(\text{x}-3\right)=0\)
\(\left(\text{x}-3\right)\left(\text{x}-4\right)=0\)
\(\orbr{\begin{cases}\text{x}-3=0\\\text{x}-4=0\end{cases}\Leftrightarrow\orbr{\begin{cases}\text{x}=3\\\text{x}=4\end{cases}}}\)
Vậy ....
#HuyềnAnh#
Bài 1:
a) \(75^2+150.25+25^2\)
\(=75^2+2.75.25+25^2\)
\(=\left(75+25\right)^2\)
\(=100^2\)
\(=10000\)
b) \(2019^2-2019.19-19^2-19.1981\)
\(=\left(2019^2-19^2\right)-2019.19-19.1981\)
\(=\left(2019-19\right).\left(2019+19\right)-19\left(2019+1981\right)\)
\(=2000.2038-19.4000\)
\(=2000.2038-19.2.2000\)
\(=2000.2038-38.2000\)
\(=2000.\left(2038-38\right)\)
\(=2000.2000\)
\(=4000000\)
Bài 2:
\(\left(x-3\right)^2-x+3=0\)
\(\Rightarrow\left(x-3\right)^2-\left(x-3\right)=0\)
\(\Rightarrow\left(x-3\right).\left(x-3-1\right)=0\)
\(\Rightarrow\left(x-3\right).\left(x-4\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-3=0\\x-4=0\end{cases}\Rightarrow\orbr{\begin{cases}x=3\\x=4\end{cases}}}\)
Vậy \(x\in\left\{3;4\right\}\)
