Answer
$x = -1.28$ or $x= 6.28$
Work Step by Step
The equation given in the question is $x(x-5)=8$.
This is a quadratic equation, as when expanded it will give $x^2-5x-8=0$.
Input this equation into a graphing calculator, and then look specifically at where the line intercepts the x-axis. (As this is a quadratic equation, there will be 2 interceptions, and hence 2 solutions for $x$)
In this case, the intercepts are $x = -1.275$ and $x=6.275$.
However, we are not at the answer yet as the question asks us to round to the nearest hundredth, which is basically 2 decimal places.
So, $x = -1.28$ or $x = 6.28$.
