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If ''a'' is a complex no. such that mod(a)=1. Find the values of,a so that equation az^2+z+1=0 has,One purely imaginary root.

If ''a'' is a complex no. such that mod(a)=1.
Find the values of,a so that equation az^2+z+1=0 has,One purely imaginary root.

Grade:11

1 Answers

Amit Jain
askIITians Faculty 32 Points
7 years ago
Use z = iy and solve the quadratic equation and equate the real and imaginary part to zero. Then you will get the possible values of y and by that you will get the values of a. Amit Jain IIT Delhi AskIITian Faculty

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