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`        let p and q be complex numbers with |a|=|b|=|c|.  (A) prove that if a root of the eqauation azsqaur+bz+c=0 has modulas equal to 1,then bsquar=ac            `
7 years ago

Aniket Patra
48 Points
```										Since the modulus of one of the root is 1,it satisfies the condition for reality i.e. b^2 - 4ac > 0..which gives ur answer,,
```
7 years ago
mycroft holmes
271 Points
```										We will repeatedly invoke the result that if |z| =1 then

We have here three complex numbers with modulus 1,  where  is the root of the equation.

So, we have  ........................1 which can be written as

Taking conjugates on both sides and using the result mentioned above, we have

which translates to ........................2

Multiplying 1 by b, we get .....................3

Subtracting 2 and 3, we get
```
7 years ago
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