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```
if the equation z^2+az+ß=0 has a real root, prove that (aß*-ßa*)(a*-a)=(ß-ß*)^2 * means conjugate
if the equation z^2+az+ß=0 has a real root, prove that (aß*-ßa*)(a*-a)=(ß-ß*)^2* means conjugate

```
6 years ago

mycroft holmes
272 Points
```							Let m be the real root. Then we have

m^2+am+b = 0 and taking conjugate, m^2+a* m + b* = 0

Subtracting, we get m (a-a*) = (b*-b)

Substitute this value of m, and after some simple algebraic manipulations you arrive at the given equality
```
6 years ago
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