Question

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

Answer 1

Step-by-step explanation:

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

I hope it helps you

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.