For an even degree reciprocal equation of class two root (s) are

a polynomial of an even degree has atleast two real roots if it attains atleast one value opposite in sign to the coefficient of its highest-degree term.

Square root reciprocal function and properties

If f(x)=0 is a reciprocal equation of second type and an even degree,then a factor of f(x) is

If f(x)=0 is a reciprocal equation of second type and even degree then which of the following is a factor of f(x) a)x + 1 b)x-1 c)both (1) & (2) d)none

If the roots of the equation x^5-40x^(4)-px^(3)+Qx^2-Rx-S=0 are in geometric progression and the sum of the reciprocals of the roots is 10,then |S|=

The equation x^(2)+bx+c=0 has distinct roots. If 2 is subtracted from each root the result are the reciprocal of the original roots, then b^(2)+c^(2) is

1.The order and degree of the differential equation root(3)((d^(4)y)/(dx^(4)))+root(4)((d^(3)y)/(dx^(3)))=0 is

The equation of fourth degree with rational coefficients one of whose roots is sqrt(3)+sqrt(2) is

The quadratic equation whose roots are reciprocal of the roots of the equation ax^(2)+bx+c=0 is-