If 4x^2-100=0 the roots of the equation are

Your equation: 4x² - 100 = 0

Factor the left side: (2x + 10) · (2x - 10) = 0

This equation is true if either factor is zero.

- - One factor: 2x + 10 = 0

Divide each side by 2: x + 5 = 0

Subtract 5 from each side: x = - 5.

- - The other factor: 2x - 10 = 0

Divide each side by 2: x + 5 = 0

Add 5 to each side: x = 5.