Answer
$x=-\sqrt 10,\sqrt 10$
Work Step by Step
$5x^{2}+1=51$
$5x^{2}=50$
$x^{2}=10$
$x=-\sqrt 10,\sqrt 10$
Isolate $x$ on one side by combining the other term with the other side. Then divide both sides, and then take the square root of both sides to get two answers.