Answer:
11
Step-by-step explanation:
Given
x² - 7x + 10 = 28 ( subtract 28 from both sides )
x² - 7x - 18 = 0 ← in standard form
(x - 9)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 9 = 0 ⇒ x = 9
x + 2 = 0 ⇒ x = - 2
The distance between the solutions is
| 9 - (- 2) | = | 11 = 11 units
