If the roots of the equation `ax^2+bx+c=0` be in the ratio m:n, prove that `sqrt(m/n)+sqrt(n/m)+b/sqrt(ac)=0`

If the roots of the equation ax^(2)+bx+c=0 are in the ratio m:n then

If the roots of the equation ax^(2)+bx+c=0 be in the ratio 3:4, show that 12b^(2)=49ac .

If the roots of the quadratic equation ax^2 + cx + c = 0 are in the ratio p :q show that sqrt(p/q)+sqrt(q/p)+sqrt(c/a)= 0 , where a, c are real numbers, such that a gt 0

If the ratio of the roots of the equation ax^(2)+bx+c=0 is m: n then

If the ratio of the roots of the equation lx^2+nx+n=0 is p:q prove that sqrt(p/q) +sqrt(q/p)+sqrt(n/l)=0

If alpha,beta are the roots of the equation ax^(2)-bx+b=0 , prove that sqrt((alpha)/(beta))+sqrt((beta)/(alpha))-sqrt((b)/(a))=0 .

The condition that the root of ax^(2)+bx+c=0 may be in the ratio m: n is :

If one root of the equation ax^2 + bx + c = 0 is equal to the n^(th) power of the other, then (ac^n)^(1/(n+1)) + (a^nc)^(1/(n+1)) + b is equal to

If the ratio of the roots of the equation ax^2+bx+c=0 is equal to ratio of roots of the equation x^2+x+1=0 then a,b,c are in

The roots of the equation ax^(2)+bx+c=0 where a!=0 ,are: 1) (b+-sqrt(b^(2)-4ac))/(2a), 2) (-b+-sqrt(b^(2)-4ac))/(2c), 3) (-b+sqrt(b^(2)-4ac))/(2a), 4) (2a)/(2a-b+sqrt(b^(2)-4ac)