Let-a-b-c-complex-numbers-such-that-the-roots-of-the-equation-ax-2-bx-c-0-have-same-modulus-Prove-that-a-0-iff-b-0-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 125131 by Snail last updated on 03/Jun/21

Let a,b,c∈ complex numbers such that the roots of the equation ax^2 +bx+c=0 have same modulus Prove that a=0 iff b=0

$${Let}\:{a},{b},{c}\in\:{complex}\:{numbers}\:{such}\:{that}\:{the}\:{roots} \\ $$$${of}\:{the}\:{equation}\:{ax}^{\mathrm{2}} +{bx}+{c}=\mathrm{0}\:{have}\:{same}\:{modulus} \\ $$$${Prove}\:{that}\:{a}=\mathrm{0}\:{iff}\:{b}=\mathrm{0} \\ $$

Facebook Tweet Pin

Let-a-b-c-complex-numbers-such-that-the-roots-of-the-equation-ax-2-bx-c-0-have-same-modulus-Prove-that-a-0-iff-b-0-

Leave a Reply Cancel reply