Question

Solve the quadratic equation by factorization : x2 – 15x + 54 = 0​

Answer 1

Answer:

x²-9x-6x+54

x(x-9)-6(x-9)

(x-9)(x-6)

hence x=6,9.

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.