" Find the roots of "z^(2)-z+1=0

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) 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

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

z_1a n dz_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 bdot

z_1a n dz_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 bdot

z_1a n dz_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 bdot

z_1a n dz_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 bdot

If a_(1),a_(2),a_(3) are the roots of z^(3)-3z^(2)+3z+7=0, then find the value of |sum_(i!=j)((a_(i)-1)/(a_(j)-1))|

Let z_(1), z_(2), z_(3) be the roots of iz^(3) + 5z^(2) - z + 5i = 0 , then |z_(1)| + |z_(2)| + |z_(3)| = _____________.

Find the roots of the following Quadratic Equations by factorisation :- z^2-(sqrt2+1)z+sqrt2=0 .