Solutions of az^2 + bz + c = 0 have

broggesy9

broggesy9

Answered question

2022-04-21

Solutions of az2+bz+c=0 have the same module r>0.
Prove that the solutions of the equation az2+bz+c=0, with a, b, cC have the same module r>0 if and only if bc=r2ab.

Answer & Explanation

haillarip0c9

haillarip0c9

Beginner2022-04-22Added 23 answers

Let p,q be the roots of equation. then
p=r2p,q=r2q
Now by vieta
p+q=ba,pq=ca
hence taking conjugate of blue colored equation
ba=p+q=r2(p+qpq)=r2bc.

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