The origin and the roots if the equation z2+pz+q from an equitorial triangle if
The origin and the roots if the equation z2+pz+q from an equitorial triangle if
(a) p2=q
(b) p2=3q
(c) q2=3p
(d) p2=q
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z2+pz+q=0
z1+z2 = p, z1z2=q
If z1,z2,z3 are the vertices of an equilateral triangle then z12+z22+z32 = z1z2+z2z3+z3z1
If z3 is origin then z12+z22=z1z2
=> (z1+z2)2=3z1z2
=> p2 = 3q
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