Question

(ii) If A = k3 - 3k2 and B = 1 - 3k, for what value of k is A = B?
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Answer 1

Answer:

k =1

Step-by-step explanation:

x = k^3 – 3k^2 and y = 1 – 3K,

x=y

so k^3 – 3k^2=1–3k

k^3–1–3k^2+3k=0

(k-1)( k^2+k+1) -3k(k-1)=0

(k-1) (k^2+k+1–3k)=0

(k-1)(k^2–2k+1)=0

(k-1)(k-1)^2=0

(k-1)^3=0

Thus k=1

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