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

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

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

If the slope of one of the lines represented by ax^2 + 2hxy+by^2=0 be the nth power of the , prove that , (ab^n)^(1/(n+1)) +(a^nb)^(1/(n+1))+2h=0 .

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

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

lim_(ntooo) ((n^(2)-n+1)/(n^(2)-n-1))^(n(n-1)) is equal to

If one root is the n^("th") power of the other root of the equation x^(2) -ax + b = 0 then b^((n)/(n+1))+b^((1)/(n+1)) =

If the equations ax^2 + bx + c = 0 and x^2 + x + 1= 0 has one common root then a : b : c is equal to

If n is an odd natural number, then sum_(r=0)^n (-1)^r/(nC_r) is equal to