Chapter 9, Problem 21PT

To determine

To find: The solution of given system of equation.

Answer to Problem 21PT

The solution of given system of equation is $\left(\sqrt{\frac{43}{2}},\pm \frac{5\sqrt{2}}{2}\right),\left(-\sqrt{\frac{43}{2}},\pm \frac{5\sqrt{2}}{2}\right)$

Explanation of Solution

Given information:

The equation are $x^2+y^2=34,x^2-y^2=9$ .

Calculation:

Consider the equation.

  $\begin{array}{l}{x}^2+y^2=34,\\ x^2-y^2=9\end{array}$

The graph is shown below.

  

Figure 1

From the graph it is clear that the solution is $\left(\sqrt{\frac{43}{2}},\pm \frac{5\sqrt{2}}{2}\right),\left(-\sqrt{\frac{43}{2}},\pm \frac{5\sqrt{2}}{2}\right)$