Question

If (a,3) is a point on the graph of y=x^2-2x what is a?

Answer 1

`\begin{gathered} y=x^2-2x \\ (a,3) \\ 3=x^2-2x \\ x^2-2x-3=0 \\ x^2+x-3x-3=0 \\ x(x+1)-3(x+1)=0 \\ (x-3)(x+1)=0 \\ x=3\text{ or } \\ x=-1 \end{gathered}`