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If α + 5 i 2 is a root of the equation 2 x 2 - 6 x + k = 0, then the value of k 10 is α , k , ∈ R

Correct answer

1.7

Step-by-step solution

α + 5 i 2 is one root So, α - 5 i 2 is the other root ⇒ k = 2 4 α 2 + 25 = 1 2 9 + 25 = 17 ⇒ k 10 = 1.7

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