Question

of x-6 isthe GCD of x^2-2x-24 and x^2-kx-6 yhen find the value of k​

Answer 1

Answer:

If (x - 6) is the HCF of x2 - 2x - 24 and x2 - kx - 6, then what is the value of k? ·

Step-by-step explanation:

Given that (x - 6) is the HCF of x^2 - 2x - 2y and x^2 - 4x - 6 (x - 6) is factor of both expressionLet f(x1) = x1^2 - 2x1 - 24 and f(x2) = x2^2 - 4x2

Answer 2

Step-by-step explanation:

Given that (x−6) is the HCF of

x

2

−2x−2y and x

2

−4x−6(x−6) is factor of both expression

Let f(x

1

)=x

1

2

−2x

1

−24

and f(x

2

)=x

2

2

−4x

2

−6

Now f(x

1

)=f(x

2

) at (x

1

=x

2

=6)

⇒(6)

2

−2(6)−24=(6)

2

−4(6)−6

⇒0=30−6k⇒6k=30∴k=5