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

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 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 he equation x^3+a x^2+b x+216=0 has three real roots in G.P., then b//a has the value equal to _____.

If he equation x^3+a x^2+b x+216=0 has three real roots in G.P., then b//a has the value equal to _____.

If he equation x^3+a x^2+b x+216=0 has three real roots in G.P., then b//a has the value equal to _____.

If he equation x^3+a x^2+b x+216=0 has three real roots in G.P., then b//a has the value equal to _____.

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