Question

Draw the graph of $y=x^2$ and $y=x+2$ and hence solve the equation $x^2-x-2=0$.

Answer 1

The graphs of $y=x^2$ and $y=x+2$ intersect at the $x$-coordinates of $-1$ and $2$. Hence the roots of the quadratic equation $x^2-x-2=0$ are $\{-1,2\}$