Question

solve the quadratic equation by factorisation xsquare-15x+54=0

Answer 1

$x {}^{2} - 15x + 54 \\ x {}^{2} - 9x - 6x + 54 \\ x(x - 9) - 6(x - 9) \\ ( x - 6)(x - 9)$
x=6 or=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.