Solve the equation `x^3-13 x^2+15 x+189=0` if one root exceeds the other by 2.

Determine k and solve the equation 2x^3 - 6x^2 + 3x+k = 0 if one of its roots is twice the sum of the other two roots.

Solve the equation 2(x+2)-3(x-3)=x+7

Determine k and solve the equation 2x^3-6x^2+3x+k=0 if one of its roots is twice the sum of the other two roots.

Solve the cubic equation : 8x^3 - 2x^2 -7x + 3 =0

Solve the equation 15x^3-23x^2+9x-1=0 . Where roots are in H . P

Solve the equation 3x^3 - 16x^2 + 23x -6 = 0 if the product of two roots is 1.

Solve the equation 9x^3 - 36x^2 + 44x - 16 = 0 if the roots form an arithmetic progression.

Solve the equation x^(3)+5x^(2)-16x-14=0 given x+7 is a root