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

Show that x^(5)-5x^(3)+5x^(2)-1=0 has three equal roots and find this root.On and the repeated roots of x^(5)-3x^(4)-5x^(3)+27x^(2)-32x+12=0

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+alpha beta=

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=

Show that the equation x^(2)+5x-6=0 has real roots.

Show that the equation x^(2)+5x-6=0 has real roots.

Show that the equation x^(5)-3x-1=0 has a unique root in [1,2] .

The equation 3x^(2)-12x+(n-5)=0 has equal roots. Find the value of n.

If the equation x^(5)-10a^(3)x^(2)+b^(4)x+c^(5)=0 has three equal roots, then

If the equation x^(5)-10a^(3)x^(2)+b^(4)x+c^(5)=0 has three equal roots, then