Question

Solve the quadratic equation $x^2-10x+25=0$ graphically.

Answer 1

Prepare the table of values for the equation $y=x^2-10x+25.$

$x$ $1$ $2$ $3$ $4$ $5$ $6$

$y$ $16$ $9$ $4$ $1$ $0$ $1$

Mark the point at which the curve touches the x-axis.
The parabola intersect the $x$-axis at only one point $E(5,0)$
$\therefore$ The roots of the equation are $5$ and $5$.