Find the product of the roots of the equation x2− | 2x | −15 = 0

This equation is equivalent to a pair of equations:

1.x² – 2 * x – 15 = 0,

We calculate the discriminant, we get:

D = 4 + 60 = 64 = 8².

Then the roots are equal:

x1 = 5,

x2 = -3.

2.x² + 2 * x – 15 = 0.

Here’s the discriminant:

D = 4 + 60 = 64 = 8².

The corresponding roots are:

x1 = 3,

x2 = -5.

We calculate the product of all roots, we get:

5 * (-3) * 3 * (-5) = 15² = 225.

Answer: the product of the roots is 225.