If (x - 6) is the HCF of x2 - 2x - 24 and x2 - kx - 6 then the value of k??❤☺
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Answer:
Given that (x−6) is the HCF of
x2−2x−2y and x2−4x−6(x−6) is factor of both expression
Let f(x1)=x12−2x1−24
and f(x2)=x22−4x2−6
Now f(x1)=f(x2) at (x1=x2=6)
⇒(6)2−2(6)−24=(6)2−4(6)−6⇒0=30−6k⇒6k=30∴k=5
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