Question

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

Answer 1

Answer:

x²-16x+64

By factorisation method,

x²-16x+64=0

using identity:(x-y)²=x²-2xy+y²

=>(x)²-2(x)(8)+(8)²=0

=>x=x

=>y=8

=>(x-y)² = (x-8)²

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.