$$7^{2}+\frac{1}{x^{2}}=79; 7+\frac{1}{x}=?$$
$x=-\frac{\sqrt{30}}{30}\approx -0.182574186\text{, }y=7-\sqrt{30}\approx 1.522774425$
$x=\frac{\sqrt{30}}{30}\approx 0.182574186\text{, }y=\sqrt{30}+7\approx 12.477225575$