Question

Solve by factoring s^2-14s+45=0

Answer 1

C

s= 5 or 9

...............

Answer 2

s = 5, s = 9

Explanation:

To factor the quadratic

Consider the factors of the constant term (45) which sum to give the coefficient of the s- term (- 14)

The factors are - 9 and - 5

since - 9 × - 5 = + 45 and - 9 - 5 = - 14, hence

s² - 14s + 45 = 0

(s - 9)(s - 5) = 0

Equate each factor to zero and solve for s

s - 9 = 0 ⇒ s = 9

s - 5 = 0 ⇒ s = 5