Question

PRACTICE SET 2.2 (Textbook page 36)
Q. Solve the following quadratic equations by
factorisation method :
(1) x2 - 15x + 54 = 0​

Answer 1

Step-by-step explanation:

x2-9x-6x+54=0

x(x-9)-6(x-9)=0

(x-6) (x-9)=0

x-6=0 or x-9=0

x=6 or x=9

Answer 2

Answer:

X² – 15x + 54 = 0

⇒ x² - 9x - 6x + 54 = 0

⇒ x (x - 9) - 6 (x - 9) = 0

⇒ (x - 6) (x - 9) = 0

⇒ (x - 6) = 0 or (x - 9) = 0

⇒ x = 6 or x = 9

So, 6 and 9 are the roots of the given quadratic equation.