Chapter 3 - Quadratic Functions - 3.1 Introduction to the Family of Quadratic Functions - Exercises and Problems for Section 3.1 - Exercises and Problems - Page 121: 10

The solutions are $x \approx-0.541$ and $x \approx 5.541$.

We solve for $x$ in the equation $5 x-x^2+3=0$ using the quadratic formula with $a=-1, b=5$ and $c=3$. $$ \begin{aligned} & x=\frac{-5 \pm \sqrt{(-5)^2-4(-1) 3}}{2(-1)} \\ & x=\frac{-5 \pm \sqrt{37}}{-2} \end{aligned} $$ The solutions are $x \approx-0.541$ and $x \approx 5.541$.