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Given that the root of an the equation 2x 2 k 2... - WAEC Mathematics 2005 Question

Given that the root of an the equation \(2x^2 + (k+2)x+k=0\) is 2, find the value of k
A
-4
B
-2
C
-1
D
\(-\frac{1}{4}\)
correct option: a

Substituting for x in the equation
(2(2)^2 + (k+2)2+k = 0 \Rightarrow 8 +2k + 4 + k =0 \Rightarrow 3k =-12; k=-4)

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