[" Find 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."]

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

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

If the roots of the quadratic equations mx^(2) =6x + 1 are equal , then the value of m is

If the quadratic equation mx^(2)+2x+m=0 has two equal roots, find m?

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.

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

Prove that the integral values of m for which the roots of the equation mx^(2)+ (2m-1)x+(m-2)=0 are rational are given by the expression n(n+1) , where n is integer.