Then condition that `x^4+a x^3+b x^2+c x+d` is a perfect squre, is

Then condition that x^(4)+ax^(3)+bx^(2)+cx+d is a perfect squre,is

The values of a and b if 4x^(4)-24x^(3)+76x^(2)+ax+b is a perfect square are

If the expression x^2+2(a+b+c)x+3(b c+ca+a b) is a perfect square, then a. a=b=c b. a=+-b=+-c c. a=b!=c d. none of these

Let I=int_(0)^(oo)(cos x+4)/(3sin x+4cos x+25)dx and J=int_(0)^((pi)/(2))(sin x+3)/(3sin x+4cos x+25)dx If 25I=a pi+(b)/(n)(c)/(d) where a,b,c and d in N and (c)/(d) is not perfect square of a rational then find the value of (a+b+c+d)

If a, b,c , d are the roots of the equation : x^(4) + 2x^(3) + 3x^(2) + 4x + 5 = 0 , then 1 + a^(2) + b^(2) + c^(2) + d^(2) is equal to :