The number of integral values of 'm' less than 50, so that the roots of the quadratic equation `mx^(2)+(2m-1)x+(m-2)=0` are rational, are

The quadratic equation x^(2) - (m -3)x + m =0 has

The number of all possible positive integral values of alpha for which the roots of the quadratic equation 6x^2-11x+alpha=0 are rational numbers is : (a) 3 (b) 2 (c) 4 (d) 5

Find the values of 'm', if the roots of the following quadratic equation are equal, (4+m)x^(2)+(m+1)x+1=0 .

Find the value of m so that the roots of the equation (4-m)x^(2)+(2m+4)x+(8m+1)=0 may be equal.

If both the roots of the quadratic equation x^(2)-2kx+k^(2)+k-5=0 are less than 5, then k lies in the interval.

The integral value of m for which the root of the equation m x^2+(2m-1)x+(m-2)=0 are rational are given by the expression [where n is integer] (A) n^2 (B) n(n+2) (C) n(n+1) (D) none of these

If both roots of the equation x^2-(m+1)x+(m+4)=0 are negative then m equals

Find the solution of the quadratic equation 2x^(2)-mx-25n=0 , if m+5=0 and n-1=0 .

IF both the roots of the quadratic equation x^2-2kx+k^2 +k -5=0 are less than 5, then k lies in the interval