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Category: Algebra

Let-a-b-be-non-zero-complex-numbers-and-z-1-z-2-be-the-roots-of-the-equation-z-2-az-b-0-If-there-exists-4-such-that-a-2-b-then-the-points-z-1-z-2-and-the-origin-A-form-an-equilateral-t

Question Number 139641 by EnterUsername last updated on 30/Apr/21 Leta,bbenonzerocomplexnumbersandz1,z2betherootsoftheequationz2+az+b=0.Ifthereexistsλ4suchthata2=λb,thenthepointsz1,z2andtheorigin$$\left(\mathrm{A}\right)\:\mathrm{form}\:\mathrm{an}\:\mathrm{equilateral}\:\mathrm{triangle} \