Given that the root of an the equation \(2x^2 + (k+2)x+k=0\) is 2, find the...
MATHEMATICS
WAEC 2005
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. ?1/4
Correct Answer: A. -4
Explanation
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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