Chapter 4.2, Problem 2CFU

To determine

To discuss and solve: best method of solving $5p^2-13p+7=0$ .

Answer to Problem 2CFU

  $\begin{array}{l}{p}_1=\left(13+\sqrt{29}\right)/10\\ p_2=\left(13-\sqrt{29}\right)/10\end{array}$

Explanation of Solution

Given information: $5p^2-13p+7=0$

Calculation:

This is the given equation

  $5p^2-13p+7=0$

It seems much more easy to use quadratic formula to compute the roots.

  $p_{1,2}=\left(13\pm \sqrt{{13}^2-4\times 5\times 7}\right)/2\times 5$

We’ll determine the final values of $p_1\text{ and }{p}_2$

  $\begin{array}{l}{p}_1=\left(13+\sqrt{29}\right)/10\\ p_2=\left(13-\sqrt{29}\right)/10\end{array}$