If `x^2-A(x+1)+C=0` has roots `x_1&x_2` then the value of `x_1^2+x_2^2+(2+A)x_1x_2=`

If x^(2)-5x+1=0 , then the value of (x^(4) + (1)/(x^(2))) div (x^(2)+1) is

Let x_1 and x_2 be the real roots of the equation x^2 -(k-2)x+(k^2 +3k+5)=0 then the maximum value of x_1^2+x_2^2 is

If x-1/x=0 the value x^2+1/x^2 will be

If x_(1),x_(2),x_(3) are the roots of x^(3)+ax^(2)+b=0, the value of x_(2)x_(3),x_(1)x_(3),x_(1),x_(2)]|

Let the equation x^(5) + x^(3) + x^(2) + 2 = 0 has roots x_(1), x_(2), x_(3), x_(4) and x_(5), then find the value of (x_(2)^(2) - 1)(x_(3)^(2) - 1)(x_(4)^(2) - 1)(x_(5)^(2) - 1).

If x_1 x_2 x_3 = 4(4 + x_1 + x_2 + x_3 ) , then what is the value of [1//(2 + x_1 )] + [1//(2 + x_2 )] + [1//(2 + x_3 )] ?