If one of the roots of `27x^(3)-108x^(2)+117x+28=0` is equal to half of the sum of the other two roots then one of its root is

If one of the roots of 27x^(3)-108x^(2)+117x-28=0 is equal to half the sum of the other two,then one of its roots is ( i (3)/(4)(ii)-(3)/(4)(iii)-(4)/(3)(iv)(4)/(3)

If one of the roots of 27x^(3)-108x^(2)+117x-28=0 is equal to half the sum of the other two,then one of its roots is ( i (3)/(4)(ii)-(3)/(4)(iii)-(4)/(3)(iv)(4)/(3)

If two roots of 2x^(3)-11x^(2)+12x+9=0 are equal then the roots are

If two roots of 2x^(3)-11x^(2)+12x+9=0 are equal then the roots are

If the sum of two roots of the equation x^(4)-x^(3)+2x^(2)+kx+17=0 equals to the sum of the other two, then value of k is

If two roots of 4x^(3)-12x^(2)+9x-2=0 are equal then the roots are

The roots of x^(3)-3x^(2)-16x+48=0, given that the sum of two roots being zero is/are

If the two roots of 9x^(3)+24x^(2)+13x+12x+2=0 are equal then the roots are

If one root of x^(3)+2x^(2)+3x+k=0 is the sum of the other two roots then k=

Find all values of a for which the sum of the roots of the equation x^(2)-2a(x-1)-1=0 is equal to the sum of the squares of its roots