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 `|a|` is

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

If z_(1),z_(2) are roots of equation z^(2)-az+a^(2)=0 then |(z_(1))/(z_(2))|=

Let z_(1) and z_(2) be the roots of z^(2)+az+b=0 If the origin,z_(1) and z_(2) from an equilateral triangle,then

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) .

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 .

If z_(1) and z_(2) are the complex roots of the equation (x-3)^(3) + 1=0 , then z_(1) +z_(2) equal to

If the origin and the roots of the equation z^2 + az + b=0 forms an equilateral triangle then show that the area of the triangle is (sqrt3)/(4) b.

z_(1) and z_(2) are the roots of the equaiton z^(2) -az + b=0 where |z_(1)|=|z_(2)|=1 and a,b are nonzero complex numbers, then