Question

tell how many solutions the following equation has.
$s^2 - 30 = -30$
the equation $s^2 - 30 = -30$ has
options: no solution, two solutions, only one solution.

Explanation:

Step1: Isolate the squared term

Add 30 to both sides.
$$s^2 - 30 + 30 = -30 + 30$$
$$s^2 = 0$$

Step2: Solve for s

Take square root of both sides.
$$s = \sqrt{0} = 0$$
This is a repeated root.

Answer:

only one solution.