Решите уравнение 5x^2-10=0.

\[5x^{2} - 10 = 0\]

\[5 \cdot \left( x^{2} - 2 \right) = 0\]

\[5 \cdot \left( x - \sqrt{2} \right)\left( x + \sqrt{2} \right) = 0\]

\[x = \pm \sqrt{2}.\]

\[Ответ:x = \pm \sqrt{2}.\]