If x=-5+2 -4 , then the value of x^ 4 +9 x^ 3 +35 x^ 2 -x+4 is -40 k . The value of is

Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations

If \(x=-5+2 \sqrt{-4},\) then the value of \(x^{4}+9 x^{3}+35 x^{2}-x+4\) is \(-40 k .\) The value of is

1. \(k=4\)
2. \(k=8\)
3. \(k=4\)
4. \(k=16\)

Answer

(C) k=4

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