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JEE Main Mathematics question

MathematicsComplex NumbersJEE Main

The number of values of for which the equation has a root is .

Answer: 1

Solution

Recognise the identity A^3+B^3+C^3-3ABC=(A+B+C)\left(A^2+B^2+C^2-AB-BC-CA\right) with , , . So either , which needs $

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Question ID VK-008233