Question

Solve equation by factoring n^2=5n-4

Answer 1

$\huge\text{Hey there!}$

$\huge\textbf{Equation:}$

$\mathsf{n^2 = 5n - 4}$

$\huge\textbf{Convert:}$

$\mathsf{5n - 4 = n^2}$

$\huge\textbf{Subtract }\boxed{\bf n^2}\huge\textbf{ to both sides:}$

$\mathsf{5x - 4 - n^2 = n^2 - n^2}$

$\huge\textbf{Simplify it:}$

$\mathsf{-n^2 + 5x - 4 = 0}$

$\huge\textbf{Factor the LEFT side of the equation:}$

$\mathsf{(-n + 1)\times (n - 4) = 0}$

$\huge\textbf{Simplify that as well:}$

$\mathsf{-n + 1 = 0 \ or\ even\ \ n - 4 = 0}$

$\huge\textbf{Lastly, simplify that as well:}$

$\mathsf{n = 1\ or\ n = 4}$

$\huge\textbf{Therefore, your answer should be: }$

$\huge\boxed{\frak{n = 1\ or \ n = 4}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~$\frak{Amphitrite1040:)}$