What is the distance between the solutions to the quadratic

equation x2 - 7x + 10 = 28

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