Question

Answer 1

a) \(5x^3-10x^2=0\Rightarrow5x^2\left(x-2\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x=2\end{matrix}\right.\)

b) \(5x\left(x-4\right)-\left(x-4\right)=0\Rightarrow\left(5x-1\right)\left(x-4\right)=0\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{5}\\x=4\end{matrix}\right.\)

c) \(\left(x-1\right)^2-49=0\Rightarrow\left(x-1\right)^2=49\Rightarrow\left[{}\begin{matrix}x-1=7\\x-1=-7\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=8\\x=-6\end{matrix}\right.\)

d) \(x^2+4x+3=0\Rightarrow\left(x+1\right)\left(x+3\right)=0\Rightarrow\left[{}\begin{matrix}x=-1\\x=-3\end{matrix}\right.\)