If p and q are the roots of the equation `x^(2)+px+q=0`, then

If p and q are the roots of the equation lx^2 + nx + n = 0 , show that sqrt(p/q) + sqrt(q/p)+ sqrt(n/l) = 0 .

If sec alpha" and cosec "alpha are the roots of the equation x^(2)-px+q=0 , then

If the roots of the equation q^(2)x^(2)+p^(2)x+r^(2)=0 are the squares of the roots of the equation qx^(2)+px+r=0 , are the squares of the roots of the equation qx^(2)+px+r=0 , then q, p, r are in:

If alpha and beta are the roots of the equation (x^(2)-2x + 3 = 0) from the equation where roots equation is are Q (a^(2))/(beta^(2))

If a and beta are the roots of the equation (x^(2)-2x + 3 = 0) from the equation where roots equation is are Q (1)/(alpha)and(1)/(beta)

If alpha, beta are the roots of the equation x^(2)-px+q=0 , prove that log_(e)(1+px+qx^(2))=(alpha+beta)x-(alpha^(2)+beta^(2))/(2)x^(2)+(alpha^(3)+beta^(3))/(3)x^(3)-...

If alpha, beta are the roots of the equation x^(2)-px+q=0 , prove that log_(e)(1+px+qx^(2))=(alpha+beta)x-(alpha^(2)+beta^(2))/(2)x^(2)+(alpha^(3)+beta^(3))/(3)x^(3)-...