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The quadratic equation p(x) = 0 with real coefficient has purely imaginary roots.Then the equation p(p(x)) = 0 has ​ 1)only purely imaginary roots 2)all real roots 3)two real and two purely imaginary roots 4)neither real nor purely imaginary roots Why will the roots be complex numbers ??and not puirely imaginary??

 
The quadratic equation p(x) = 0 with real coefficient has purely imaginary roots.Then the equation p(p(x)) = 0 has ​
1)only purely imaginary roots
2)all real roots
3)two real and two purely imaginary roots
4)neither real nor purely imaginary roots
Why will the roots be complex numbers ??and not puirely imaginary??

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1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
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