Find the coordinates of the foci of the ellipse given by the equation $\frac{x^2}{30} + \frac{y^2}{5} = 1$.

1. Problem Description

Find the coordinates of the foci of the ellipse given by the equation $\frac{x^2}{30} + \frac{y^2}{5} = 1$.

2. Solution Steps

The equation of the ellipse is given by $\frac{x^2}{30} + \frac{y^2}{5} = 1$. Since $30 > 5$, the major axis is along the x-axis. The equation has the form $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$, where $a^2 = 30$ and $b^2 = 5$.

We need to find $c$, where $c^2 = a^2 - b^2$.

$c^2 = a^2 - b^2$

$c^2 = 30 - 5$

$c^2 = 25$

$c = \sqrt{25}$

$c = 5$

Since the major axis is along the x-axis, the foci are at $(\pm c, 0)$. Therefore, the foci are at $(\pm 5, 0)$.

3. Final Answer

(±5, 0)