if (x+k)²=x²+6x+q,find the value of k and q.
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Answer:
k =3
q =9
Step-by-step explanation:
(x+k)²=x²+6x+q
using (a+b)² = a² + b² + 2ab
=> x² + k² + 2xk = x² +6x + q
=> k² + 2kx = q + 6x
2kx = 6x (equating x )
and q = k²
Solving
2kx = 6x
cancelling x from both sides
2k = 6
=> k =3
putting value of k in
q = k²
=> q = 3²
=> q = 9
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