Question

For what values of x is f (x)=0 when f(x)= x^2-x-6?

Answer 1

\(\large\tt \begin{align} \color{black}{f(x)= x^2-x-6\\~\\
f (x)=0 ----(given)\\~\\
therefore\\~\\
x^2-x-6=0\\~\\
x^2-3x+2x-6=0\\~\\
x(x-3)+2(x-3)=0\\~\\
(x-3)(x+2)=0\\~\\
(x-3)=0~~or~~ (x+2)=0\\~\\
x=3~~or~~ x=-2\\~\\~\\
}\end{align}\)