If the equation ` x^(5) - 10 a^(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

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

If the equation a(b - c)x^2 + b(c - a)x+c (a -b) = 0 has equal roots, prove that 1/a+1/c=2/b

If the equation (a - 5) x^(2) + 2 (a - 10) x + a + 10 = 0 has roots of opposite sign , then find the values of a .

If the equation (a - 5) x^(2) + 2 (a - 10) x + a + 10 = 0 has roots of opposite sign , then find the values of a .

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=

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

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