Show that `x^5-5x^3+5x^2-1=0` has three equal roots and find this roots .

The equation x^(5)-5x^(3)+5x^(2)-1=0 has three equal roots. If alpha,beta are the other two roots of this equation, then alpha+beta+alphabeta=

Solve x^4-5x^3+5x^2+5x-6 =0 given that the product of two of its roots is 3

If the equation x^5 -3x^4 -5x^3 +27 x^2 - 32 x +12=0 has repeated roots , then the prime number that divides the non repeated root of this equation is

If the equation x^(2) + 5x + K = 0 has real and distinct roots, then….

If the product of two of the roots of x^4 - 5x^3 + 5x^2 + 5x -6=0 is 2 then the roots are

Solve the equation x^4+2x^3-5x^2+6x+2=0 given that 1+I is one of its roots .

If 5x^(2) - kx + 11 = 0 has a root x = 3, then k =