Answer:
C {3, 15}
Step-by-step explanation:
x² - 18x + 45
Factor
What 2 numbers multiply to 45 and add to -18
-15*-3 = 45
-15+-3 = -18
(x-15) (x-3) =0
Using the zero product property
x-15 =0 x-3=0
x-15+15=0+15 x-3+3=0+3
x=15 x=3
Answer:
C
Step-by-step explanation:
Given
x² - 18x + 45
Consider the factors of the constant term (+ 45) which sum to give the coefficient of the x- term (- 18)
The factors are - 15 and - 3, since
- 15 × - 3 = + 45 and - 15 - 3 = - 18, thus
(x - 15)(x - 3) ← in factored form
To solve equate to zero, that is
(x - 15)(x - 3) = 0
Equate each factor to zero and solve for x
x - 15 = 0 ⇒ x = 15
x - 3 = 0 ⇒ x = 3
Solutions are { 3, 15 } → C
