Answer
$x = -3.45$ or $x = 1.45$
Work Step by Step
You are given the quadratic equation $x(x+2)=5$.
Input this into a graphic calculator, and look specifically at points the line intercepts the x-axis.
In this case, the intercepts are $x= -3.449$ and $x=1.449$.
Round these to the nearest hundredth or to $2$ decimal places, so
$x= -3.45$ and $x=1.45$.