Answer:
10 units
Explanation:
Given
(x + 4)(x - 6) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 6 = 0 ⇒ x = 6
The roots are x = - 4 and x = 6
Use the absolute value to find the distance between them, that is
| - 4 - 6 | = | - 10 | = 10 , or
| 6 - (- 4) | = | 6 + 4 | = | 10 | = 10
The distance between the roots is 10 units