Question

x²+15x+54=0 solve the following quadratic equation by factorisation​

Answer 1

Answer:

x = -6 & -9

Steps

${x}^{2} + 15x + 54 = 0 \\ {x}^{2} + 9x + 6x + 54 = 0 \\ x(x + 9) + 6(x + 9) = 0 \\ (x + 6)(x +9) = 0$

x = - 6

and

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.