$$7^{2}+\frac{1}{x^{2}}=79; x+\frac{1}{x}=?$$
$x=-\frac{\sqrt{30}}{30}\approx -0.182574186\text{, }y=-\frac{31\sqrt{30}}{30}\approx -5.659799761$
$x=\frac{\sqrt{30}}{30}\approx 0.182574186\text{, }y=\frac{31\sqrt{30}}{30}\approx 5.659799761$
