[" If the equation "ax^(n)+3x^(5)+bx^(2)+c=0,n in I^(+)" has infinite number of real solutjons."],[" Then "a+b+c+n" is equal to "]

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 are in the ratio m:n then

The equations x^(2)+3x+5=0 and ax^(2)+bx+c=0 have a common root.If a,b,c in N then the least possible values of a+b+c is equal to

If the equation ax^(2) + 2 bx - 3c = 0 has no real roots and (3c)/(4) lt a + b , then

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

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^n c)^(1/(n+1)) + b is equal to

If c>0 and the equation 3ax^(2)+4bx+c=0 has no real root,then

The equations x^2 +3x+5=0 and ax^2+bx+c=0 have a common root. If a,b,c in N then the least possible values of a+b+c is equal to