• # question_answer If $x=-5+2\sqrt{-4},$ then the value of the expression  ${{x}^{4}}+9{{x}^{3}}+35{{x}^{2}}-x+4$ is [IIT 1972] A) 160 B) $-160$ C) 60 D) $-60$

$x+5=4i$Þ ${{x}^{2}}+10x+25=-16$ Now, ${{x}^{4}}+9{{x}^{3}}+35{{x}^{2}}-x+4$ $=({{x}^{2}}+10x+41)({{x}^{2}}-x+4)-160=-160$