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Question
One of the roots of quadratic equation \[2 x^2 + kx - 2 = 0\] is –2. find k.
Solution
\[2 x^2 + kx - 2 = 0\]
One of the roots is –2 so, it will satisfy the given equation.
\[ \Rightarrow 8 - 2k - 2 = 0\]
\[ \Rightarrow 6 - 2k = 0\]
\[ \Rightarrow 6 = 2k\]
\[ \Rightarrow k = 3\]
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