Question

${x}^{2} - 45x + 324 = 0$
Please solve using factorisation method.

Answer 1

Hey there!

Q. $x^{2} - 45x + 324 = 0$

Answer : We have, $x^{2} - 45x + 324 = 0$

⇒ $x^{2} - 9x - 36x + 324 = 0$

⇒ x(x - 9) - 36(x - 9) = 0

⇒ (x - 9)(x - 36) = 0

⇒ x - 9 = 0 or x - 36 = 0

⇒ x = 9 or x = 36

Thus, x = 9 and x = 36 are two roots of the equation $x^{2} - 45x + 324 = 0$