Let `z_1 and z_2` be the roots of the equation `3z^2 + 3z + b=0`. If the origin, together with the points represented by `z_1 and z_2` form an equilateral triangle then find the value of b.

If z_(1) and z_(2) are the roots of the equation az^(2)+bz+c=0,a,b,c in complex number and origin z_(1) and z_(2) form an equilateral triangle,then find the value of (b^(2))/(ac) .

Let z_1 and z_2 be theroots of the equation z^2+az+b=0 z being complex. Further, assume that the origin z_1 and z_2 form an equilateral triangle then (A) a^2=4b (B) a^2=b (C) a^2=2b (D) a^2=3b

If the points A(z),B(-z) and C(z+1) are vertices of an equilateral triangle then

Let z_1 and z_2 be the roots of z^2+pz+q =0. Then the points represented by z_1,z_2 the origin form an equilateral triangle if p^2 =3q.

If the points A(z), B(-z) and C(1-z) are the vertices of an equilateral triangle, then value of z is

z_(1)andz_(2) are the roots of 3z^(2)+3z+b=0. if O(0),(z_(1)),(z_(2)) form an equilateral triangle,then find the value of b .

Let z_1,z_2 be the roots of the equation z^2+az+12=0 and z_1, z_2 form an equilateral triangle with origin. Then, the value of absa is ________ .

If z_1 and z_2 are the roots of the equation z^2+az+12=0 and z_1 , z_2 forms an equilateral triangle with origin. Find absa