Home » Given that the root of an the equation (2x^2 + (k+2)x+k=0) is 2, find the…

Given that the root of an the equation (2x^2 + (k+2)x+k=0) is 2, find the…

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 Answer: Option A
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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