[" (35) "],[" 36.The roots of the cubic equation "(z+alpha beta)^(3)=alpha^(3),alpha!=0],[" represent the vertices of an equilateral triangle of side."]

The roots of the cubic equation (z + alpha beta)^(3) = alpha^(3) , alpha ne 0 represent the vertices of a triangle of sides of length

The roots of the cubic equation (z+ab)^(3)=a^(3),a!=0 represents the vertices of an equilateral triangle of sides of length

The roots of the cubic equation (z+alpha beta)^^3=alpha^(^^)3,alpha is not equal to 0, represent the vertices of a triangle of sides of length

The roots of the cubic equation (z + alpha beta )^3 = alpha ^3 , alpha is not equal to 0, represent the vertices of a triangle of sides of length

The roots of the cubic equation (z+ab)^3=a^3,a !=0 represents the vertices of an equilateral triangle of sides of length

If alpha,beta are roots of the equation 3x^(2)+4x-5=0 , then (alpha)/(beta) and (beta)/(alpha) are roots of the equation

If z_(1),z_(2),z_(3) are the vertices of the o+ABC on the complex plane and are also the roots of the equation z^(3)-3az^(2)+3 beta z+gamma=0 then the condition for the o+ABC to be equilateral triangle is: alpha^(2)=beta( b) alpha=beta^(2)alpha^(2)=3 beta(d)alpha=3 beta^(2)

If z_1,z_2,z_3 are the vertices of the A B C on the complex plane and are also the roots of the equation z^3-3a z^2+3betaz+gamma=0 then the condition for the A B C to be equilateral triangle is: alpha^2=beta (b) alpha=beta^2 alpha^2=3beta (d) alpha=3beta^2

If alpha and beta are the roots of the quadratic equation x^2-3x-2=0 , then alpha/beta+beta/alpha=